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11860042462272 = 263531199123619
BaseRepresentation
bin1010110010010110000110…
…0111100011010001000000
31112222210211202021112100000
42230211201213203101000
53023303331332243042
641120232302200000
72332600623404634
oct254454147432100
945883752245300
1011860042462272
1138628a7863254
1213b6680283000
136805218770c4
142d0059c84dc4
15158790cda74c
hexac9619e3440

11860042462272 has 336 divisors, whose sum is σ = 36574114304000. Its totient is φ = 3806564129280.

The previous prime is 11860042462207. The next prime is 11860042462379. The reversal of 11860042462272 is 27226424006811.

11860042462272 is a `hidden beast` number, since 1 + 1 + 86 + 0 + 0 + 42 + 462 + 2 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95878479 + ... + 96002097.

Almost surely, 211860042462272 is an apocalyptic number.

11860042462272 is a gapful number since it is divisible by the number (12) 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 11860042462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287057152000).

11860042462272 is an abundant number, since it is smaller than the sum of its proper divisors (24714071841728).

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

11860042462272 is a wasteful number, since it uses less digits than its factorization.

11860042462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123876 (or 123854 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 11860042462272 in words is "eleven trillion, eight hundred sixty billion, forty-two million, four hundred sixty-two thousand, two hundred seventy-two".