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5127299264 = 261917324373
BaseRepresentation
bin1001100011001110…
…00110000011000000
3111020022220210022202
410301213012003000
541000042034024
62204435452332
7241026216233
oct46147060300
914208823282
105127299264
1121a125490a
12bb11570a8
1363933ccb9
14368d5b41a
152001eebae
hex1319c60c0

5127299264 has 56 divisors (see below), whose sum is σ = 10772333040. Its totient is φ = 2414582784.

The previous prime is 5127299251. The next prime is 5127299269. The reversal of 5127299264 is 4629927215.

It is a happy number.

It is a super-2 number, since 2×51272992642 = 52578395485229883392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5127299269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198182 + ... + 222554.

It is an arithmetic number, because the mean of its divisors is an integer number (192363090).

Almost surely, 25127299264 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 5127299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386166520).

5127299264 is an abundant number, since it is smaller than the sum of its proper divisors (5645033776).

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

5127299264 is a wasteful number, since it uses less digits than its factorization.

5127299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24577 (or 24567 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 5127299264 is about 71605.1622720038. The cubic root of 5127299264 is about 1724.3664145461.

The spelling of 5127299264 in words is "five billion, one hundred twenty-seven million, two hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 173 304 346 608 692 1216 1384 2768 3287 5536 6574 11072 13148 24373 26296 48746 52592 97492 105184 194984 210368 389968 463087 779936 926174 1559872 1852348 3704696 4216529 7409392 8433058 14818784 16866116 29637568 33732232 67464464 80114051 134928928 160228102 269857856 320456204 640912408 1281824816 2563649632 5127299264