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676252444896 = 253574291249
BaseRepresentation
bin10011101011100111100…
…10010110100011100000
32101122112012021121100000
421311303302112203200
542034431111214041
61234355512500000
766600110640000
oct11656362264340
92348465247300
10676252444896
11240884969aa6
12ab08b6aa600
134ba0255b0a2
1424a33420000
15128ce32ebb6
hex9d73c968e0

676252444896 has 720 divisors, whose sum is σ = 2408719950000. Its totient is φ = 186403037184.

The previous prime is 676252444859. The next prime is 676252444951. The reversal of 676252444896 is 698444252676.

It is a happy number.

676252444896 is a `hidden beast` number, since 6 + 7 + 62 + 52 + 44 + 489 + 6 = 666.

676252444896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 541434480 + ... + 541435728.

It is an arithmetic number, because the mean of its divisors is an integer number (3345444375).

Almost surely, 2676252444896 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 676252444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204359975000).

676252444896 is an abundant number, since it is smaller than the sum of its proper divisors (1732467505104).

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

676252444896 is an equidigital number, since it uses as much as digits as its factorization.

676252444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1290 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 676252444896 in words is "six hundred seventy-six billion, two hundred fifty-two million, four hundred forty-four thousand, eight hundred ninety-six".