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631463139512064 = 2835671017714887
BaseRepresentation
bin1000111110010011111111100…
…0000111101000111100000000
310001210211021201220201021100000
42033210333320013220330000
51130231343002203341224
610115002054521200000
7250002464155415466
oct21744777007507400
93053737656637300
10631463139512064
11173227017054212
125a9a5953930000
1321146945860662
14b1d0d9c638836
154d00c132aa0c9
hex23e4ff81e8f00

631463139512064 has 432 divisors, whose sum is σ = 1916593465649408. Its totient is φ = 207311804891136.

The previous prime is 631463139512041. The next prime is 631463139512207. The reversal of 631463139512064 is 460215931364136.

It is a happy number.

631463139512064 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 6 + 31 + 39 + 512 + 0 + 64 = 666.

631463139512064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 631463139512064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42417077229 + ... + 42417092115.

Almost surely, 2631463139512064 is an apocalyptic number.

631463139512064 is a gapful number since it is divisible by the number (64) 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 631463139512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958296732824704).

631463139512064 is an abundant number, since it is smaller than the sum of its proper divisors (1285130326137344).

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

631463139512064 is a wasteful number, since it uses less digits than its factorization.

631463139512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25162 (or 25136 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 631463139512064 in words is "six hundred thirty-one trillion, four hundred sixty-three billion, one hundred thirty-nine million, five hundred twelve thousand, sixty-four".