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70517311488 = 2113213294293
BaseRepresentation
bin100000110101100101…
…0001100100000000000
320202000110202120211100
41001223022030200000
52123404412431423
652221210414400
75044325154261
oct1015312144000
9222013676740
1070517311488
11279a7202928
1211800131400
13685a681220
1435ad5d6968
151c7ac48343
hex106b28c800

70517311488 has 144 divisors (see below), whose sum is σ = 219334375260. Its totient is φ = 21697560576.

The previous prime is 70517311477. The next prime is 70517311559. The reversal of 70517311488 is 88411371507.

It can be written as a sum of positive squares in 2 ways, for example, as 68836967424 + 1680344064 = 262368^2 + 40992^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 92470 + ... + 386762.

Almost surely, 270517311488 is an apocalyptic number.

70517311488 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 70517311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109667187630).

70517311488 is an abundant number, since it is smaller than the sum of its proper divisors (148817063772).

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

70517311488 is a wasteful number, since it uses less digits than its factorization.

70517311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294334 (or 294311 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 70517311488 in words is "seventy billion, five hundred seventeen million, three hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 59904 79872 119808 239616 294293 588586 882879 1177172 1765758 2354344 2648637 3531516 3825809 4708688 5297274 7063032 7651618 9417376 10594548 11477427 14126064 15303236 18834752 21189096 22954854 28252128 30606472 34432281 37669504 42378192 45909708 56504256 61212944 68864562 75339008 84756384 91819416 113008512 122425888 137729124 150678016 169512768 183638832 226017024 244851776 275458248 301356032 339025536 367277664 452034048 489703552 550916496 602712064 678051072 734555328 904068096 979407104 1101832992 1356102144 1469110656 1808136192 1958814208 2203665984 2712204288 2938221312 3917628416 4407331968 5424408576 5876442624 7835256832 8814663936 11752885248 17629327872 23505770496 35258655744 70517311488