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913257136368 = 24331923291071559
BaseRepresentation
bin11010100101000100101…
…11100000000011110000
310020022021110102101111000
431102202113200003300
5104430322311330433
61535313341522000
7122660235401613
oct15224227400360
93208243371430
10913257136368
11322345932645
12128bb3b73300
13681731cb7b5
14322b7d6817a
1518b51322113
hexd4a25e00f0

913257136368 has 640 divisors, whose sum is σ = 3008378880000. Its totient is φ = 263687187456.

The previous prime is 913257136343. The next prime is 913257136403. The reversal of 913257136368 is 863631752319.

913257136368 is a `hidden beast` number, since 9 + 1 + 3 + 2 + 571 + 3 + 6 + 3 + 68 = 666.

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 127 ways as a sum of consecutive naturals, for example, 585795973 + ... + 585797531.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592000).

Almost surely, 2913257136368 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 913257136368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440000).

913257136368 is an abundant number, since it is smaller than the sum of its proper divisors (2095121743632).

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

913257136368 is a wasteful number, since it uses less digits than its factorization.

913257136368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1742 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 913257136368 in words is "nine hundred thirteen billion, two hundred fifty-seven million, one hundred thirty-six thousand, three hundred sixty-eight".