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34854927212 = 22717471997829
BaseRepresentation
bin100000011101100000…
…111111101101101100
310022222002200202111002
4200131200333231230
51032340330132322
624002342015432
72342510664410
oct403540775554
9108862622432
1034854927212
1113866774776
126908a17578
13339615b6b1
141989144d40
15d8ee75c92
hex81d83fb6c

34854927212 has 96 divisors (see below), whose sum is σ = 75769344000. Its totient is φ = 13689105408.

The previous prime is 34854927197. The next prime is 34854927227. The reversal of 34854927212 is 21272945843.

It is an interprime number because it is at equal distance from previous prime (34854927197) and next prime (34854927227).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4448114 + ... + 4455942.

It is an arithmetic number, because the mean of its divisors is an integer number (789264000).

Almost surely, 234854927212 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 34854927212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37884672000).

34854927212 is an abundant number, since it is smaller than the sum of its proper divisors (40914416788).

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

34854927212 is a wasteful number, since it uses less digits than its factorization.

34854927212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8101 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The spelling of 34854927212 in words is "thirty-four billion, eight hundred fifty-four million, nine hundred twenty-seven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 199 238 329 398 476 658 796 799 1316 1393 1598 2786 3196 3383 5572 5593 6766 7829 9353 11186 13532 15658 18706 22372 23681 31316 37412 47362 54803 65471 94724 109606 130942 133093 159001 219212 261884 266186 318002 367963 532372 636004 735926 931651 1113007 1471852 1557971 1863302 2226014 2575741 3115942 3726604 4452028 5151482 6231884 6255371 10302964 10905797 12510742 21811594 25021484 26485507 43623188 43787597 52971014 73224637 87575194 105942028 146449274 175150388 185398549 292898548 370797098 512572459 741594196 1025144918 1244818829 2050289836 2489637658 4979275316 8713731803 17427463606 34854927212