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616125664 = 25711250051
BaseRepresentation
bin100100101110010…
…101010011100000
31120221100102112001
4210232111103200
52230212010124
6141045413344
721160660510
oct4456252340
91527312461
10616125664
11296872370
1215240a254
139a8536cb
145bb83840
1539155b44
hex24b954e0

616125664 has 48 divisors (see below), whose sum is σ = 1512314496. Its totient is φ = 240048000.

The previous prime is 616125637. The next prime is 616125703. The reversal of 616125664 is 466521616.

It is a super-2 number, since 2×6161256642 = 759221667678881792, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 122562 + ... + 127489.

It is an arithmetic number, because the mean of its divisors is an integer number (31506552).

Almost surely, 2616125664 is an apocalyptic number.

It is an amenable number.

616125664 is an abundant number, since it is smaller than the sum of its proper divisors (896188832).

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

616125664 is a wasteful number, since it uses less digits than its factorization.

616125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250079 (or 250071 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 616125664 is about 24821.8787363084. The cubic root of 616125664 is about 850.9220278528.

It can be divided in two parts, 61612 and 5664, that added together give a palindrome (67276).

The spelling of 616125664 in words is "six hundred sixteen million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 250051 500102 1000204 1750357 2000408 2750561 3500714 4000816 5501122 7001428 8001632 11002244 14002856 19253927 22004488 28005712 38507854 44008976 56011424 77015708 88017952 154031416 308062832 616125664