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53537068800 = 283352491631
BaseRepresentation
bin110001110111000011…
…101101011100000000
312010012002102212212000
4301313003231130000
51334120442200200
640332233104000
73603461401455
oct616703553400
9163162385760
1053537068800
1120783309206
12a461558000
1350827b7947
14283c3bb82c
1515d5175300
hexc770ed700

53537068800 has 432 divisors, whose sum is σ = 197026556160. Its totient is φ = 14224896000.

The previous prime is 53537068799. The next prime is 53537068813. The reversal of 53537068800 is 886073535.

53537068800 is a `hidden beast` number, since 53 + 537 + 0 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 84844485 + ... + 84845115.

Almost surely, 253537068800 is an apocalyptic number.

53537068800 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 53537068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98513278080).

53537068800 is an abundant number, since it is smaller than the sum of its proper divisors (143489487360).

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

53537068800 is a wasteful number, since it uses less digits than its factorization.

53537068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53537068800 in words is "fifty-three billion, five hundred thirty-seven million, sixty-eight thousand, eight hundred".