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11691742772160 = 2634511353911587
BaseRepresentation
bin1010101000100011001000…
…1011001011101111000000
31112101201102122201102220000
42222020302023023233000
53013024142122202120
640511040143520000
72314462166552313
oct252106213135700
945351378642800
1011691742772160
1137a8492aa0070
121389b30bb9000
1366a6acc77659
142c5c51d7497a
151541e08a5990
hexaa2322cbbc0

11691742772160 has 560 divisors, whose sum is σ = 45387194244480. Its totient is φ = 2833316444160.

The previous prime is 11691742772159. The next prime is 11691742772183. The reversal of 11691742772160 is 6127724719611.

11691742772160 is a `hidden beast` number, since 1 + 1 + 6 + 91 + 7 + 427 + 72 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 11691742772097 and 11691742772106.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1009033887 + ... + 1009045473.

Almost surely, 211691742772160 is an apocalyptic number.

11691742772160 is a gapful number since it is divisible by the number (10) 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 11691742772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693597122240).

11691742772160 is an abundant number, since it is smaller than the sum of its proper divisors (33695451472320).

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

11691742772160 is a wasteful number, since it uses less digits than its factorization.

11691742772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 11691742772160 in words is "eleven trillion, six hundred ninety-one billion, seven hundred forty-two million, seven hundred seventy-two thousand, one hundred sixty".