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31161612870 = 235559217351
BaseRepresentation
bin11101000001011000…
…000111101001000110
32222102201001221200000
4131001120013221012
51002304333102440
622152045302130
72152133224203
oct350130075106
988381057600
1031161612870
1112240a10a73
126057b64946
132c27c38bab
141718824caa
15c25ad0730
hex741607a46

31161612870 has 96 divisors (see below), whose sum is σ = 85445418240. Its totient is φ = 8168882400.

The previous prime is 31161612869. The next prime is 31161612907. The reversal of 31161612870 is 7821616113.

31161612870 is a `hidden beast` number, since 3 + 11 + 616 + 1 + 28 + 7 + 0 = 666.

It is a super-2 number, since 2×311616128702 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34695 + ... + 252045.

It is an arithmetic number, because the mean of its divisors is an integer number (890056440).

Almost surely, 231161612870 is an apocalyptic number.

31161612870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31161612870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42722709120).

31161612870 is an abundant number, since it is smaller than the sum of its proper divisors (54283805370).

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

31161612870 is a wasteful number, since it uses less digits than its factorization.

31161612870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217432 (or 217420 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 31161612870 in words is "thirty-one billion, one hundred sixty-one million, six hundred twelve thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 243 270 295 354 405 486 531 590 810 885 1062 1215 1593 1770 2430 2655 3186 4779 5310 7965 9558 14337 15930 23895 28674 47790 71685 143370 217351 434702 652053 1086755 1304106 1956159 2173510 3260265 3912318 5868477 6520530 9780795 11736954 12823709 17605431 19561590 25647418 29342385 35210862 38471127 52816293 58684770 64118545 76942254 88027155 105632586 115413381 128237090 176054310 192355635 230826762 264081465 346240143 384711270 528162930 577066905 692480286 1038720429 1154133810 1731200715 2077440858 3116161287 3462401430 5193602145 6232322574 10387204290 15580806435 31161612870