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52022310912000 = 214355311131743
BaseRepresentation
bin10111101010000011000110…
…10111001100000000000000
320211012021200021220212200000
423311001203113030000000
523304313143043141000
6302350415242400000
713646326234512642
oct1365014327140000
9224167607825600
1052022310912000
11156375a1322320
125a02332800000
1323048b5357b10
14cbbc7124c892
156033466d3000
hex2f50635cc000

52022310912000 has 5760 divisors, whose sum is σ = 247569492538368. Its totient is φ = 10701766656000.

The previous prime is 52022310911971. The next prime is 52022310912007. The reversal of 52022310912000 is 21901322025.

It is a happy number.

52022310912000 is a `hidden beast` number, since 520 + 2 + 2 + 3 + 10 + 9 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52022310912007) 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 383 ways as a sum of consecutive naturals, for example, 1209821183979 + ... + 1209821184021.

Almost surely, 252022310912000 is an apocalyptic number.

52022310912000 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 52022310912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123784746269184).

52022310912000 is an abundant number, since it is smaller than the sum of its proper divisors (195547181626368).

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

52022310912000 is a wasteful number, since it uses less digits than its factorization.

52022310912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 52022310912000 in words is "fifty-two trillion, twenty-two billion, three hundred ten million, nine hundred twelve thousand".