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53811637920 = 25325434631877
BaseRepresentation
bin110010000111011011…
…000110111010100000
312010220020002102212200
4302013123012322200
51340201234403140
640415402053200
73613334242515
oct620733067240
9163806072780
1053811637920
11209042a3037
12a5194aa200
1350c7650391
142866a5130c
1515ee30e030
hexc876c6ea0

53811637920 has 288 divisors, whose sum is σ = 188408892672. Its totient is φ = 13978331136.

The previous prime is 53811637861. The next prime is 53811637933. The reversal of 53811637920 is 2973611835.

53811637920 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 1 + 637 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 28668022 + ... + 28669898.

It is an arithmetic number, because the mean of its divisors is an integer number (654197544).

Almost surely, 253811637920 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 53811637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94204446336).

53811637920 is an abundant number, since it is smaller than the sum of its proper divisors (134597254752).

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

53811637920 is a wasteful number, since it uses less digits than its factorization.

53811637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 53811637920 in words is "fifty-three billion, eight hundred eleven million, six hundred thirty-seven thousand, nine hundred twenty".