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70307657856 = 273410962213
BaseRepresentation
bin100000101111010101…
…0011011100010000000
320201110212021002010000
41001132222123202000
52122442230022411
652144321040000
75036201142222
oct1013652334200
9221425232100
1070307657856
11278a9926a67
1211761a86000
1368260c6c17
14358d820412
151c67633956
hex105ea9b880

70307657856 has 160 divisors (see below), whose sum is σ = 211157426700. Its totient is φ = 23220504576.

The previous prime is 70307657837. The next prime is 70307657857. The reversal of 70307657856 is 65875670307.

It can be written as a sum of positive squares in 2 ways, for example, as 67745678400 + 2561979456 = 260280^2 + 50616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (70307657857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1099006 + ... + 1161218.

Almost surely, 270307657856 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 70307657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105578713350).

70307657856 is an abundant number, since it is smaller than the sum of its proper divisors (140849768844).

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

70307657856 is a wasteful number, since it uses less digits than its factorization.

70307657856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62348 (or 62327 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 70307657856 in words is "seventy billion, three hundred seven million, six hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 288 324 327 384 432 436 576 648 654 864 872 981 1152 1296 1308 1728 1744 1962 2592 2616 2943 3456 3488 3924 5184 5232 5886 6976 7848 8829 10368 10464 11772 13952 15696 17658 20928 23544 31392 35316 41856 47088 62213 62784 70632 94176 124426 125568 141264 186639 188352 248852 282528 373278 376704 497704 559917 565056 746556 995408 1119834 1130112 1493112 1679751 1990816 2239668 2986224 3359502 3981632 4479336 5039253 5972448 6719004 6781217 7963264 8958672 10078506 11944896 13438008 13562434 17917344 20157012 20343651 23889792 26876016 27124868 35834688 40314024 40687302 53752032 54249736 61030953 71669376 80628048 81374604 107504064 108499472 122061906 161256096 162749208 183092859 215008128 216998944 244123812 322512192 325498416 366185718 433997888 488247624 549278577 645024384 650996832 732371436 867995776 976495248 1098557154 1301993664 1464742872 1952990496 2197114308 2603987328 2929485744 3905980992 4394228616 5858971488 7811961984 8788457232 11717942976 17576914464 23435885952 35153828928 70307657856