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11939212335960 = 23345713223135431
BaseRepresentation
bin1010110110111101000010…
…0000101001101101011000
31120021101012020100211010000
42231233100200221231120
53031103001324222320
641220444243253000
72341402545260130
oct255572040515530
946241166324100
1011939212335960
113893434122128
121409a9607a160
13687b2aa0b700
142d3c0a691ac0
1515a876480c90
hexadbd0829b58

11939212335960 has 960 divisors, whose sum is σ = 51820487009280. Its totient is φ = 2409501219840.

The previous prime is 11939212335959. The next prime is 11939212335971. The reversal of 11939212335960 is 6953321293911.

11939212335960 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 9 + 2 + 12 + 33 + 596 + 0 = 666.

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 = 11939212335897 and 11939212335906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88089445 + ... + 88224875.

It is an arithmetic number, because the mean of its divisors is an integer number (53979673968).

Almost surely, 211939212335960 is an apocalyptic number.

11939212335960 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 11939212335960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25910243504640).

11939212335960 is an abundant number, since it is smaller than the sum of its proper divisors (39881274673320).

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

11939212335960 is a wasteful number, since it uses less digits than its factorization.

11939212335960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135510 (or 135484 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 11939212335960 in words is "eleven trillion, nine hundred thirty-nine billion, two hundred twelve million, three hundred thirty-five thousand, nine hundred sixty".