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11942107584 = 2631121134549
BaseRepresentation
bin10110001111100111…
…00001100111000000
31010211021011220212220
423013303201213000
5143424134420314
65253000451040
7601636145121
oct130763414700
933737156786
1011942107584
115079010200
122393479a80
131184174c64
1481406c048
1549d6373a9
hex2c7ce19c0

11942107584 has 168 divisors, whose sum is σ = 35045446800. Its totient is φ = 3586007040.

The previous prime is 11942107579. The next prime is 11942107613. The reversal of 11942107584 is 48570124911.

It is a super-2 number, since 2×119421075842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622942 + ... + 2627490.

It is an arithmetic number, because the mean of its divisors is an integer number (208603850).

Almost surely, 211942107584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11942107584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522723400).

11942107584 is an abundant number, since it is smaller than the sum of its proper divisors (23103339216).

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

11942107584 is a wasteful number, since it uses less digits than its factorization.

11942107584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 11942107584 in words is "eleven billion, nine hundred forty-two million, one hundred seven thousand, five hundred eighty-four".