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70702433568 = 25321361309577
BaseRepresentation
bin100000111011000110…
…0011000010100100000
320202111101002202120200
41001312030120110200
52124244310333233
652251422305200
75052033524634
oct1016614302440
9222441082520
1070702433568
1127a91753888
1211852128200
136889b29610
1435ca024dc4
151c8c114313
hex1076318520

70702433568 has 144 divisors (see below), whose sum is σ = 220076523576. Its totient is φ = 21397893120.

The previous prime is 70702433561. The next prime is 70702433609. The reversal of 70702433568 is 86533420707.

It can be written as a sum of positive squares in 4 ways, for example, as 52318327824 + 18384105744 = 228732^2 + 135588^2 .

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

It is a super-2 number, since 2×707024335682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70702433561) 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 23 ways as a sum of consecutive naturals, for example, 73596 + ... + 383172.

Almost surely, 270702433568 is an apocalyptic number.

70702433568 is a gapful number since it is divisible by the number (78) 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 70702433568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110038261788).

70702433568 is an abundant number, since it is smaller than the sum of its proper divisors (149374090008).

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

70702433568 is a wasteful number, since it uses less digits than its factorization.

70702433568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309667 (or 309656 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 70702433568 in words is "seventy billion, seven hundred two million, four hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 468 488 549 624 732 793 936 976 1098 1248 1464 1586 1872 1952 2196 2379 2928 3172 3744 4392 4758 5856 6344 7137 8784 9516 12688 14274 17568 19032 25376 28548 38064 57096 76128 114192 228384 309577 619154 928731 1238308 1857462 2476616 2786193 3714924 4024501 4953232 5572386 7429848 8049002 9906464 11144772 12073503 14859696 16098004 18884197 22289544 24147006 29719392 32196008 36220509 37768394 44579088 48294012 56652591 64392016 72441018 75536788 89158176 96588024 113305182 128784032 144882036 151073576 169957773 193176048 226610364 245494561 289764072 302147152 339915546 386352096 453220728 490989122 579528144 604294304 679831092 736483683 906441456 981978244 1159056288 1359662184 1472967366 1812882912 1963956488 2209451049 2719324368 2945934732 3927912976 4418902098 5438648736 5891869464 7855825952 8837804196 11783738928 17675608392 23567477856 35351216784 70702433568