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31845415056 = 2437139775161
BaseRepresentation
bin11101101010001000…
…100111100010010000
310001012100202200220220
4131222020213202100
51010204411240211
622343553433040
72205105363450
oct355210474220
9101170680826
1031845415056
11125619a7744
126208b6b780
1330067c6680
141781583d60
15c65b53806
hex76a227890

31845415056 has 160 divisors (see below), whose sum is σ = 102297285888. Its totient is φ = 8312094720.

The previous prime is 31845415051. The next prime is 31845415067. The reversal of 31845415056 is 65051454813.

It is a super-2 number, since 2×318454150562 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31845414999 and 31845415017.

It is not an unprimeable number, because it can be changed into a prime (31845415051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386116 + ... + 461276.

Almost surely, 231845415056 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 31845415056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148642944).

31845415056 is an abundant number, since it is smaller than the sum of its proper divisors (70451870832).

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

31845415056 is a wasteful number, since it uses less digits than its factorization.

31845415056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75289 (or 75283 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 31845415056 its reverse (65051454813), we get a palindrome (96896869869).

The spelling of 31845415056 in words is "thirty-one billion, eight hundred forty-five million, four hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 312 336 364 388 546 582 624 679 728 776 1092 1164 1261 1358 1456 1552 2037 2184 2328 2522 2716 3783 4074 4368 4656 5044 5432 7566 8148 8827 10088 10864 15132 16296 17654 20176 26481 30264 32592 35308 52962 60528 70616 75161 105924 141232 150322 211848 225483 300644 423696 450966 526127 601288 901932 977093 1052254 1202576 1578381 1803864 1954186 2104508 2931279 3156762 3607728 3908372 4209016 5862558 6313524 6839651 7290617 7816744 8418032 11725116 12627048 13679302 14581234 15633488 20518953 21871851 23450232 25254096 27358604 29162468 41037906 43743702 46900464 51034319 54717208 58324936 82075812 87487404 94778021 102068638 109434416 116649872 153102957 164151624 174974808 189556042 204137276 284334063 306205914 328303248 349949616 379112084 408274552 568668126 612411828 663446147 758224168 816549104 1137336252 1224823656 1326892294 1516448336 1990338441 2274672504 2449647312 2653784588 3980676882 4549345008 5307569176 7961353764 10615138352 15922707528 31845415056