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5097153600 = 2632527114597
BaseRepresentation
bin1001011111101000…
…00110010001000000
3111011020012020020200
410233310012101000
540414332403400
62201441405200
7240212043060
oct45764062100
914136166220
105097153600
112186234a40
12ba3039800
13633016926
14364d513a0
151ec747b00
hex12fd06440

5097153600 has 504 divisors, whose sum is σ = 22591702848. Its totient is φ = 1058918400.

The previous prime is 5097153599. The next prime is 5097153623. The reversal of 5097153600 is 63517905.

It is a happy number.

5097153600 is a `hidden beast` number, since 50 + 9 + 71 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1106502 + ... + 1111098.

Almost surely, 25097153600 is an apocalyptic number.

5097153600 is a gapful number since it is divisible by the number (50) 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 5097153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11295851424).

5097153600 is an abundant number, since it is smaller than the sum of its proper divisors (17494549248).

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

5097153600 is a wasteful number, since it uses less digits than its factorization.

5097153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5097153600 is about 71394.3527178446. The cubic root of 5097153600 is about 1720.9803317152.

It can be divided in two parts, 509715 and 3600, that added together give a palindrome (513315).

The spelling of 5097153600 in words is "five billion, ninety-seven million, one hundred fifty-three thousand, six hundred".