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11751893472 = 2531111128687
BaseRepresentation
bin10101111000111011…
…11010100111100000
31010100000021001011210
422330131322213200
5143031441042342
65222043510120
7564136306044
oct127435724740
933300231153
1011751893472
114a90701560
12233b828340
131153935c27
147d6ab6024
1548bab279c
hex2bc77a9e0

11751893472 has 48 divisors (see below), whose sum is σ = 33653152512. Its totient is φ = 3561179520.

The previous prime is 11751893453. The next prime is 11751893479. The reversal of 11751893472 is 27439815711.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11751893479) by changing a digit.

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, 5563288 + ... + 5565399.

It is an arithmetic number, because the mean of its divisors is an integer number (701107344).

Almost surely, 211751893472 is an apocalyptic number.

11751893472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11751893472 is an abundant number, since it is smaller than the sum of its proper divisors (21901259040).

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

11751893472 is a wasteful number, since it uses less digits than its factorization.

11751893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128711 (or 11128703 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The spelling of 11751893472 in words is "eleven billion, seven hundred fifty-one million, eight hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11128687 22257374 33386061 44514748 66772122 89029496 122415557 133544244 178058992 244831114 267088488 356117984 367246671 489662228 534176976 734493342 979324456 1068353952 1468986684 1958648912 2937973368 3917297824 5875946736 11751893472