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31570071918 = 2374111711719
BaseRepresentation
bin11101011001101110…
…010001000101101110
310000111011122211010220
4131121232101011232
51004123414300133
622300400112210
72165223120000
oct353156210556
9100434584126
1031570071918
1112430534330
126150905666
132c9174c838
141756b8c370
15c4b8b55b3
hex759b9116e

31570071918 has 160 divisors (see below), whose sum is σ = 85089450240. Its totient is φ = 7717006080.

The previous prime is 31570071899. The next prime is 31570071931. The reversal of 31570071918 is 81917007513.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31570071918.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2688063 + ... + 2699781.

It is an arithmetic number, because the mean of its divisors is an integer number (531809064).

Almost surely, 231570071918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31570071918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42544725120).

31570071918 is an abundant number, since it is smaller than the sum of its proper divisors (53519378322).

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

31570071918 is a wasteful number, since it uses less digits than its factorization.

31570071918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 42.

The spelling of 31570071918 in words is "thirty-one billion, five hundred seventy million, seventy-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 231 238 294 343 357 374 462 539 561 686 714 833 1029 1078 1122 1309 1617 1666 2058 2401 2499 2618 3234 3773 3927 4802 4998 5831 7203 7546 7854 9163 11319 11662 11719 14406 17493 18326 22638 23438 26411 27489 34986 35157 40817 52822 54978 64141 70314 79233 81634 82033 122451 128282 128909 158466 164066 192423 199223 244902 246099 257818 384846 386727 398446 448987 492198 574231 597669 773454 897974 902363 1148462 1195338 1346961 1394561 1722693 1804726 2191453 2693922 2707089 2789122 3445386 4019617 4183683 4382906 5414178 6316541 6574359 8039234 8367366 9761927 12058851 12633082 13148718 15340171 18949623 19523854 24117702 28137319 29285781 30680342 37899246 44215787 46020513 56274638 58571562 68333489 84411957 88431574 92041026 107381197 132647361 136666978 168823914 205000467 214762394 265294722 309510509 322143591 410000934 478334423 619021018 644287182 751668379 928531527 956668846 1435003269 1503336758 1857063054 2255005137 2870006538 4510010274 5261678653 10523357306 15785035959 31570071918