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20742607008 = 253447170267
BaseRepresentation
bin10011010100010110…
…110001000010100000
31222112120212121120000
4103110112301002200
5314440101411013
613310134020000
71333010151624
oct232426610240
958476777500
1020742607008
11888472a722
12402a7a7600
131c574b4376
14100ab91184
15816057973
hex4d45b10a0

20742607008 has 120 divisors (see below), whose sum is σ = 62301742272. Its totient is φ = 6767051904.

The previous prime is 20742607003. The next prime is 20742607013. The reversal of 20742607008 is 80070624702.

20742607008 is a `hidden beast` number, since 2 + 0 + 7 + 42 + 607 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20742607003) and next prime (20742607013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20742607003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36691 + ... + 206957.

Almost surely, 220742607008 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 20742607008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31150871136).

20742607008 is an abundant number, since it is smaller than the sum of its proper divisors (41559135264).

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

20742607008 is a wasteful number, since it uses less digits than its factorization.

20742607008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170336 (or 170319 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 20742607008 in words is "twenty billion, seven hundred forty-two million, six hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 13536 15228 20304 30456 40608 60912 121824 170267 340534 510801 681068 1021602 1362136 1532403 2043204 2724272 3064806 4086408 4597209 5448544 6129612 8002549 8172816 9194418 12259224 13791627 16005098 16345632 18388836 24007647 24518448 27583254 32010196 36777672 48015294 49036896 55166508 64020392 72022941 73555344 96030588 110333016 128040784 144045882 147110688 192061176 216068823 220666032 256081568 288091764 384122352 432137646 441332064 576183528 648206469 768244704 864275292 1152367056 1296412938 1728550584 2304734112 2592825876 3457101168 5185651752 6914202336 10371303504 20742607008