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804603954312 = 23361109312437
BaseRepresentation
bin10111011010101100010…
…00100000010010001000
32211220211020021212000000
423231112020200102020
5101140312103014222
61413344023043000
7112062556524234
oct13552610402210
92756736255000
10804603954312
11290259a57814
1210bb302a0460
135ab48a4c7b2
142ad2b9b15c4
1515de25b69ac
hexbb56220488

804603954312 has 112 divisors (see below), whose sum is σ = 2262299684940. Its totient is φ = 268155577728.

The previous prime is 804603954269. The next prime is 804603954353. The reversal of 804603954312 is 213459306408.

804603954312 is a `hidden beast` number, since 8 + 0 + 4 + 60 + 39 + 543 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 793977230916 + 10626723396 = 891054^2 + 103086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64688158 + ... + 64700594.

Almost surely, 2804603954312 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 804603954312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131149842470).

804603954312 is an abundant number, since it is smaller than the sum of its proper divisors (1457695730628).

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

804603954312 is a wasteful number, since it uses less digits than its factorization.

804603954312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554 (or 23535 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 804603954312 in words is "eight hundred four billion, six hundred three million, nine hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 11093 12437 22186 24874 33279 37311 44372 49748 66558 74622 88744 99496 99837 111933 133116 149244 199674 223866 266232 298488 299511 335799 399348 447732 599022 671598 798696 895464 898533 1007397 1198044 1343196 1797066 2014794 2396088 2686392 2695599 3022191 3594132 4029588 5391198 6044382 7188264 8059176 8086797 9066573 10782396 12088764 16173594 18133146 21564792 24177528 32347188 36266292 64694376 72532584 137963641 275927282 413890923 551854564 827781846 1103709128 1241672769 1655563692 2483345538 3311127384 3725018307 4966691076 7450036614 9933382152 11175054921 14900073228 22350109842 29800146456 33525164763 44700219684 67050329526 89400439368 100575494289 134100659052 201150988578 268201318104 402301977156 804603954312