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914713354368 = 27331117283257
BaseRepresentation
bin11010100111110010010…
…10100010000010000000
310020110000221112221001000
431103321022202002000
5104441313104314433
61540114041412000
7123041310140262
oct15237112420200
93213027487030
10914713354368
11322a229297a0
1212933b79a000
1368345b01958
14323b5511b32
1518bd90be113
hexd4f92a2080

914713354368 has 384 divisors, whose sum is σ = 3128569214400. Its totient is φ = 260877680640.

The previous prime is 914713354277. The next prime is 914713354397. The reversal of 914713354368 is 863453317419.

914713354368 is a `hidden beast` number, since 9 + 1 + 4 + 7 + 1 + 33 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 10944996 + ... + 11028252.

Almost surely, 2914713354368 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 914713354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564284607200).

914713354368 is an abundant number, since it is smaller than the sum of its proper divisors (2213855860032).

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

914713354368 is a wasteful number, since it uses less digits than its factorization.

914713354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83325 (or 83290 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 914713354368 in words is "nine hundred fourteen billion, seven hundred thirteen million, three hundred fifty-four thousand, three hundred sixty-eight".