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34930556712 = 23323171220421
BaseRepresentation
bin100000100010000001…
…011111111100101000
310100011101000010122200
4200202001133330220
51033014210303322
624014043020200
72344416555522
oct404201377450
9110141003580
1034930556712
11138a5430297
12692a20a660
1333a8a1b68c
1419951d0a12
15d969148ac
hex82205ff28

34930556712 has 96 divisors (see below), whose sum is σ = 99031196160. Its totient is φ = 11109168000.

The previous prime is 34930556657. The next prime is 34930556741. The reversal of 34930556712 is 21765503943.

34930556712 is a `hidden beast` number, since 3 + 4 + 93 + 0 + 556 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48262 + ... + 268682.

It is an arithmetic number, because the mean of its divisors is an integer number (1031574960).

Almost surely, 234930556712 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 34930556712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49515598080).

34930556712 is an abundant number, since it is smaller than the sum of its proper divisors (64100639448).

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

34930556712 is a wasteful number, since it uses less digits than its factorization.

34930556712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220535 (or 220528 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 34930556712 in words is "thirty-four billion, nine hundred thirty million, five hundred fifty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 71 72 93 124 142 186 213 248 279 284 372 426 558 568 639 744 852 1116 1278 1704 2201 2232 2556 4402 5112 6603 8804 13206 17608 19809 26412 39618 52824 79236 158472 220421 440842 661263 881684 1322526 1763368 1983789 2645052 3967578 5290104 6833051 7935156 13666102 15649891 15870312 20499153 27332204 31299782 40998306 46949673 54664408 61497459 62599564 81996612 93899346 122994918 125199128 140849019 163993224 187798692 245989836 281698038 375597384 485146621 491979672 563396076 970293242 1126792152 1455439863 1940586484 2910879726 3881172968 4366319589 5821759452 8732639178 11643518904 17465278356 34930556712