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913127990400 = 273352174159257
BaseRepresentation
bin11010100100110101010…
…10110110010010000000
310020021221110102002112000
431102122222312102000
5104430041231143100
61535252445504000
7122654106566013
oct15223252662200
93207843362460
10913127990400
11322289a4433a
12128b78872000
1368152521972
14322a4b4b37a
1518b44d11900
hexd49aab6480

913127990400 has 1536 divisors, whose sum is σ = 3700450656000. Its totient is φ = 218942668800.

The previous prime is 913127990389. The next prime is 913127990447. The reversal of 913127990400 is 4099721319.

913127990400 is a `hidden beast` number, since 9 + 131 + 27 + 9 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3553027072 + ... + 3553027328.

Almost surely, 2913127990400 is an apocalyptic number.

913127990400 is a gapful number since it is divisible by the number (90) 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 913127990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850225328000).

913127990400 is an abundant number, since it is smaller than the sum of its proper divisors (2787322665600).

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

913127990400 is a wasteful number, since it uses less digits than its factorization.

913127990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 913127990400 in words is "nine hundred thirteen billion, one hundred twenty-seven million, nine hundred ninety thousand, four hundred".