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11720188512 = 253313565033
BaseRepresentation
bin10101110101001001…
…11110001001100000
31010020210121021011000
422322210332021200
5143000332013022
65214552152000
7563302646544
oct127244761140
933223537130
1011720188512
114a7481710a
122331098600
13114a1b4bb6
147d27c1a24
15488ded6ac
hex2ba93e260

11720188512 has 48 divisors (see below), whose sum is σ = 34183885680. Its totient is φ = 3906729216.

The previous prime is 11720188463. The next prime is 11720188547. The reversal of 11720188512 is 21588102711.

11720188512 is a `hidden beast` number, since 117 + 20 + 1 + 8 + 8 + 512 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6781653 + ... + 6783380.

It is an arithmetic number, because the mean of its divisors is an integer number (712164285).

Almost surely, 211720188512 is an apocalyptic number.

11720188512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11720188512 is an abundant number, since it is smaller than the sum of its proper divisors (22463697168).

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

11720188512 is a wasteful number, since it uses less digits than its factorization.

11720188512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565052 (or 13565038 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 11720188512 in words is "eleven billion, seven hundred twenty million, one hundred eighty-eight thousand, five hundred twelve".

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 13565033 27130066 40695099 54260132 81390198 108520264 122085297 162780396 217040528 244170594 325560792 366255891 434081056 488341188 651121584 732511782 976682376 1302243168 1465023564 1953364752 2930047128 3906729504 5860094256 11720188512