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80294325846912 = 273368273403151
BaseRepresentation
bin10010010000011011111010…
…110001010000001110000000
3101112022001200121212012122000
4102100123322301100032000
541011020234404100122
6442434412024544000
722625034150414432
oct2220337261201600
9345261617765560
1080294325846912
11236476a5743221
1290096b3322000
1335a5951272698
1415b83a22a8652
1594398ddc70ac
hex4906fac50380

80294325846912 has 128 divisors (see below), whose sum is σ = 237014562931200. Its totient is φ = 26760846988800.

The previous prime is 80294325846877. The next prime is 80294325846967. The reversal of 80294325846912 is 21964852349208.

80294325846912 is a `hidden beast` number, since 8 + 0 + 2 + 9 + 4 + 32 + 584 + 6 + 9 + 12 = 666.

80294325846912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×802943258469123 (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80294325846912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21892537 + ... + 25295687.

It is an arithmetic number, because the mean of its divisors is an integer number (1851676272900).

Almost surely, 280294325846912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80294325846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118507281465600).

80294325846912 is an abundant number, since it is smaller than the sum of its proper divisors (156720237084288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80294325846912 is a wasteful number, since it uses less digits than its factorization.

80294325846912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410001 (or 3409983 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 80294325846912 in words is "eighty trillion, two hundred ninety-four billion, three hundred twenty-five million, eight hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6827 13654 20481 27308 40962 54616 61443 81924 109232 122886 163848 184329 218464 245772 327696 368658 436928 491544 655392 737316 873856 983088 1310784 1474632 1966176 2621568 2949264 3403151 3932352 5898528 6806302 7864704 10209453 11797056 13612604 20418906 23594112 27225208 30628359 40837812 54450416 61256718 81675624 91885077 108900832 122513436 163351248 183770154 217801664 245026872 326702496 367540308 435603328 490053744 653404992 735080616 980107488 1306809984 1470161232 1960214976 2940322464 3920429952 5880644928 11761289856 23233311877 46466623754 69699935631 92933247508 139399871262 185866495016 209099806893 278799742524 371732990032 418199613786 557599485048 627299420679 743465980064 836399227572 1115198970096 1254598841358 1486931960128 1672798455144 2230397940192 2509197682716 2973863920256 3345596910288 4460795880384 5018395365432 6691193820576 8921591760768 10036790730864 13382387641152 20073581461728 26764775282304 40147162923456 80294325846912