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11914966944 = 253313790471
BaseRepresentation
bin10110001100010111…
…11111011110100000
31010202101010000221000
423012023333132200
5143400212420234
65250151032000
7601156355646
oct130613773640
933671100830
1011914966944
115064763021
12238636b600
13117b6615ca
14810605196
1549b075899
hex2c62ff7a0

11914966944 has 48 divisors (see below), whose sum is σ = 34751989440. Its totient is φ = 3971655360.

The previous prime is 11914966927. The next prime is 11914966951. The reversal of 11914966944 is 44966941911.

11914966944 is a `hidden beast` number, since 1 + 1 + 91 + 496 + 69 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×119149669442 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6894372 + ... + 6896099.

It is an arithmetic number, because the mean of its divisors is an integer number (723999780).

Almost surely, 211914966944 is an apocalyptic number.

It is an amenable number.

11914966944 is an abundant number, since it is smaller than the sum of its proper divisors (22837022496).

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

11914966944 is a wasteful number, since it uses less digits than its factorization.

11914966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790490 (or 13790476 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 11914966944 in words is "eleven billion, nine hundred fourteen million, nine hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13790471 27580942 41371413 55161884 82742826 110323768 124114239 165485652 220647536 248228478 330971304 372342717 441295072 496456956 661942608 744685434 992913912 1323885216 1489370868 1985827824 2978741736 3971655648 5957483472 11914966944