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63831097344 = 214372171559
BaseRepresentation
bin111011011100101000…
…010100000000000000
320002202111110201022110
4323130220110000000
52021211230103334
645153521535320
74416536242500
oct733450240000
9202674421273
1063831097344
1125085a99213
1210454aa4540
136033391bb1
1431375dba00
1519d8c62ae9
hexedca14000

63831097344 has 360 divisors, whose sum is σ = 209782198080. Its totient is φ = 17153654784.

The previous prime is 63831097333. The next prime is 63831097391. The reversal of 63831097344 is 44379013836.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 63831097293 and 63831097302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40942837 + ... + 40944395.

It is an arithmetic number, because the mean of its divisors is an integer number (582728328).

Almost surely, 263831097344 is an apocalyptic number.

63831097344 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 63831097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104891099040).

63831097344 is an abundant number, since it is smaller than the sum of its proper divisors (145951100736).

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

63831097344 is a wasteful number, since it uses less digits than its factorization.

63831097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 63831097344 in words is "sixty-three billion, eight hundred thirty-one million, ninety-seven thousand, three hundred forty-four".