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70891116324 = 223723117921727
BaseRepresentation
bin100001000000101110…
…0001001011100100100
320202222112010211122220
41002001130021130210
52130141111210244
652322242352340
75056514355300
oct1020134113444
9222875124586
1070891116324
1128079206a46
12118a535b6b0
1368b9c50612
1436070dcd00
151c9d985319
hex1081709724

70891116324 has 144 divisors (see below), whose sum is σ = 199744634880. Its totient is φ = 19490829120.

The previous prime is 70891116301. The next prime is 70891116343. The reversal of 70891116324 is 42361119807.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3251949 + ... + 3273675.

It is an arithmetic number, because the mean of its divisors is an integer number (1387115520).

Almost surely, 270891116324 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 70891116324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99872317440).

70891116324 is an abundant number, since it is smaller than the sum of its proper divisors (128853518556).

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

70891116324 is a wasteful number, since it uses less digits than its factorization.

70891116324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21958 (or 21949 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 70891116324 in words is "seventy billion, eight hundred ninety-one million, one hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 179 186 196 217 294 358 372 434 537 588 651 716 868 1074 1253 1302 1519 2148 2506 2604 3038 3759 4557 5012 5549 6076 7518 8771 9114 11098 15036 16647 17542 18228 21727 22196 26313 33294 35084 38843 43454 52626 65181 66588 77686 86908 105252 116529 130362 152089 155372 233058 260724 271901 304178 456267 466116 543802 608356 673537 815703 912534 1064623 1087604 1347074 1631406 1825068 2020611 2129246 2694148 3193869 3262812 3889133 4041222 4258492 4714759 6387738 7778266 8082444 9429518 11667399 12775476 14144277 15556532 18859036 23334798 27223931 28288554 33003313 46669596 54447862 56577108 66006626 81671793 99009939 108895724 120563123 132013252 163343586 190567517 198019878 241126246 326687172 361689369 381135034 396039756 482252492 571702551 723378738 762270068 843941861 1143405102 1446757476 1687883722 2286810204 2531825583 3375767444 5063651166 5907593027 10127302332 11815186054 17722779081 23630372108 35445558162 70891116324