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676103798016 = 28331731313593
BaseRepresentation
bin10011101011010101110…
…11010011110100000000
32101122010211120120011000
421311222323103310000
542034130033014031
61234333042452000
766563324314113
oct11655273236400
92348124516130
10676103798016
11240808a71439
12ab049964000
134b9aa81405a
1424a1b7a857a
15128c126b3e6
hex9d6aed3d00

676103798016 has 576 divisors, whose sum is σ = 2195934935040. Its totient is φ = 204267847680.

The previous prime is 676103798009. The next prime is 676103798023. The reversal of 676103798016 is 610897301676.

It is a happy number.

676103798016 is a `hidden beast` number, since 6 + 7 + 610 + 3 + 7 + 9 + 8 + 0 + 16 = 666.

676103798016 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 an interprime number because it is at equal distance from previous prime (676103798009) and next prime (676103798023).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140141016 + ... + 1140141608.

It is an arithmetic number, because the mean of its divisors is an integer number (3812387040).

Almost surely, 2676103798016 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 676103798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097967467520).

676103798016 is an abundant number, since it is smaller than the sum of its proper divisors (1519831137024).

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

676103798016 is a wasteful number, since it uses less digits than its factorization.

676103798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 676103798016 in words is "six hundred seventy-six billion, one hundred three million, seven hundred ninety-eight thousand, sixteen".