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630587052172 = 2271131106961781
BaseRepresentation
bin10010010110100011110…
…10101101000010001100
32020021122200210022001101
421023101322231002030
540312420241132142
61201404312552444
763362351335150
oct11132172550214
92207580708041
10630587052172
11223480a51610
12a22663b2724
134760583694c
1422740665060
151160a2a80b7
hex92d1ead08c

630587052172 has 96 divisors (see below), whose sum is σ = 1421559336960. Its totient is φ = 237531744000.

The previous prime is 630587052131. The next prime is 630587052191. The reversal of 630587052172 is 271250785036.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10175922 + ... + 10237702.

It is an arithmetic number, because the mean of its divisors is an integer number (14807909760).

Almost surely, 2630587052172 is an apocalyptic number.

630587052172 is a gapful number since it is divisible by the number (62) 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 630587052172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710779668480).

630587052172 is an abundant number, since it is smaller than the sum of its proper divisors (790972284788).

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

630587052172 is a wasteful number, since it uses less digits than its factorization.

630587052172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62903 (or 62901 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 630587052172 in words is "six hundred thirty billion, five hundred eighty-seven million, fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1069 1364 2138 2387 4276 4774 7483 9548 11759 14966 23518 29932 33139 47036 61781 66278 82313 123562 132556 164626 231973 247124 329252 364529 432467 463946 679591 729058 864934 927892 1359182 1458116 1729868 1915211 2551703 2718364 3830422 4757137 5103406 7660844 9514274 10206812 13406477 19028548 21067321 26812954 42134642 53625908 66043889 84269284 132087778 147471247 264175556 294942494 462307223 589884988 726482779 924614446 1452965558 1849228892 2047360559 2905931116 4094721118 5085379453 8189442236 10170758906 14331523913 20341517812 22520966149 28663047826 45041932298 57326095652 90083864596 157646763043 315293526086 630587052172