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31299470272 = 2674710331439
BaseRepresentation
bin11101001001100110…
…000000001111000000
32222210022110211110201
4131021212000033000
51003100131022042
622213452134544
72155426051630
oct351146001700
988708424421
1031299470272
111230180a304
126096167454
132c4a675c15
14172cc6c6c0
15c32c621b7
hex7499803c0

31299470272 has 112 divisors (see below), whose sum is σ = 72613601280. Its totient is φ = 13106829312.

The previous prime is 31299470269. The next prime is 31299470281. The reversal of 31299470272 is 27207499213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21750129 + ... + 21751567.

Almost surely, 231299470272 is an apocalyptic number.

31299470272 is a gapful number since it is divisible by the number (32) 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 31299470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36306800640).

31299470272 is an abundant number, since it is smaller than the sum of its proper divisors (41314131008).

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

31299470272 is a wasteful number, since it uses less digits than its factorization.

31299470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 31299470272 in words is "thirty-one billion, two hundred ninety-nine million, four hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1033 1316 1439 1504 2066 2632 2878 3008 4132 5264 5756 7231 8264 10073 10528 11512 14462 16528 20146 21056 23024 28924 33056 40292 46048 48551 57848 66112 67633 80584 92096 97102 115696 135266 161168 194204 231392 270532 322336 339857 388408 462784 473431 541064 644672 679714 776816 946862 1082128 1359428 1486487 1553632 1893724 2164256 2718856 2972974 3107264 3787448 4328512 5437712 5945948 7574896 10405409 10875424 11891896 15149792 20810818 21750848 23783792 30299584 41621636 47567584 69864889 83243272 95135168 139729778 166486544 279459556 332973088 489054223 558919112 665946176 978108446 1117838224 1956216892 2235676448 3912433784 4471352896 7824867568 15649735136 31299470272