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631432934523840 = 263517195338421791
BaseRepresentation
bin1000111110010010001110111…
…1110000110000001111000000
310001210201101202212200212222110
42033210203233300300033000
51130230344122214230330
610114540141403335320
7250000344516305361
oct21744435760601700
93053641685625873
10631432934523840
11173215227130529
125a99bb24221540
1321143b40b85967
14b1cd734cadb68
154d0004668ddb0
hex23e48efc303c0

631432934523840 has 448 divisors, whose sum is σ = 2276611051991040. Its totient is φ = 147303610122240.

The previous prime is 631432934523767. The next prime is 631432934523869. The reversal of 631432934523840 is 48325439234136.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2776656 + ... + 35645135.

Almost surely, 2631432934523840 is an apocalyptic number.

631432934523840 is a gapful number since it is divisible by the number (60) 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 631432934523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138305525995520).

631432934523840 is an abundant number, since it is smaller than the sum of its proper divisors (1645178117467200).

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

631432934523840 is a wasteful number, since it uses less digits than its factorization.

631432934523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38421900 (or 38421890 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 631432934523840 in words is "six hundred thirty-one trillion, four hundred thirty-two billion, nine hundred thirty-four million, five hundred twenty-three thousand, eight hundred forty".