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70340739552 = 253523393299
BaseRepresentation
bin100000110000010100…
…0101000000111100000
320201120011111210200000
41001200220220013200
52123024212131202
652151502100000
75040052264266
oct1014050500740
9221504453600
1070340739552
1127916571806
1211770b7a600
13682cc0a7a5
143593d92436
151c6a4ba91c
hex1060a281e0

70340739552 has 144 divisors (see below), whose sum is σ = 216459734400. Its totient is φ = 22427425152.

The previous prime is 70340739533. The next prime is 70340739563. The reversal of 70340739552 is 25593704307.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 70340739498 and 70340739507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17802 + ... + 375497.

It is an arithmetic number, because the mean of its divisors is an integer number (1503192600).

Almost surely, 270340739552 is an apocalyptic number.

70340739552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70340739552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108229867200).

70340739552 is an abundant number, since it is smaller than the sum of its proper divisors (146118994848).

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

70340739552 is a wasteful number, since it uses less digits than its factorization.

70340739552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393347 (or 393327 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 70340739552 in words is "seventy billion, three hundred forty million, seven hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7452 7776 9936 11178 14904 19872 22356 29808 44712 59616 89424 178848 393299 786598 1179897 1573196 2359794 3146392 3539691 4719588 6292784 7079382 9045877 9439176 10619073 12585568 14158764 18091754 18878352 21238146 27137631 28317528 31857219 36183508 37756704 42476292 54275262 56635056 63714438 72367016 81412893 84952584 95571657 108550524 113270112 127428876 144734032 162825786 169905168 191143314 217101048 244238679 254857752 289468064 325651572 339810336 382286628 434202096 488477358 509715504 651303144 732716037 764573256 868404192 976954716 1019431008 1302606288 1465432074 1529146512 1953909432 2198148111 2605212576 2930864148 3058293024 3907818864 4396296222 5861728296 7815637728 8792592444 11723456592 17585184888 23446913184 35170369776 70340739552