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5137864600 = 2352112335393
BaseRepresentation
bin1001100100011110…
…11001011110011000
3111021001210120020111
410302033121132120
541010243131400
62205454134104
7241215062041
oct46217313630
914231716214
105137864600
1121a72107a0
12bb47b1334
1363b59bc8b
1436a50b8c8
152010da3ba
hex1323d9798

5137864600 has 48 divisors (see below), whose sum is σ = 13031498520. Its totient is φ = 1868313600.

The previous prime is 5137864597. The next prime is 5137864601. The reversal of 5137864600 is 64687315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137864601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165497 + ... + 1169896.

Almost surely, 25137864600 is an apocalyptic number.

5137864600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5137864600 is an abundant number, since it is smaller than the sum of its proper divisors (7893633920).

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

5137864600 is a wasteful number, since it uses less digits than its factorization.

5137864600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335420 (or 2335411 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 5137864600 is about 71678.8992661020. The cubic root of 5137864600 is about 1725.5500143459.

The spelling of 5137864600 in words is "five billion, one hundred thirty-seven million, eight hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2335393 4670786 9341572 11676965 18683144 23353930 25689323 46707860 51378646 58384825 93415720 102757292 116769650 128446615 205514584 233539300 256893230 467078600 513786460 642233075 1027572920 1284466150 2568932300 5137864600