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20031437264832 = 2632719950349633
BaseRepresentation
bin1001000110111111011101…
…01100111101011111000000
32121220222122022020000201200
410203133232230331133000
510111143340414433312
6110334152031501200
74135136455250130
oct443375654753700
977828568200650
1020031437264832
116423315132444
1222b6287987800
13b23c583741a6
144d3753518ac0
1524b0e4c660dc
hex1237eeb3d7c0

20031437264832 has 336 divisors, whose sum is σ = 66081039897600. Its totient is φ = 5683072057344.

The previous prime is 20031437264831. The next prime is 20031437264849. The reversal of 20031437264832 is 23846273413002.

20031437264832 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 143 + 7 + 26 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031437264831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403566288 + ... + 403615920.

It is an arithmetic number, because the mean of its divisors is an integer number (196669761600).

Almost surely, 220031437264832 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 20031437264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040519948800).

20031437264832 is an abundant number, since it is smaller than the sum of its proper divisors (46049602632768).

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

20031437264832 is a wasteful number, since it uses less digits than its factorization.

20031437264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50360 (or 50347 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 20031437264832 in words is "twenty trillion, thirty-one billion, four hundred thirty-seven million, two hundred sixty-four thousand, eight hundred thirty-two".