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11139379200000 = 21534551779
BaseRepresentation
bin1010001000011001011010…
…1111011000000000000000
31110102220200111012122120000
42202012112233120000000
52430001422033400000
635405205443320000
72226536125633152
oct242062657300000
943386614178500
1011139379200000
1136052031788a7
1212baa77680000
1362a5924b6b6c
142a7212564ad2
15144b62b50000
hexa2196bd8000

11139379200000 has 1920 divisors, whose sum is σ = 44601904670400. Its totient is φ = 2760376320000.

The previous prime is 11139379199999. The next prime is 11139379200043. The reversal of 11139379200000 is 297393111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×111393792000002 (a number of 27 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 141004799961 + ... + 141004800039.

Almost surely, 211139379200000 is an apocalyptic number.

11139379200000 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 11139379200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300952335200).

11139379200000 is an abundant number, since it is smaller than the sum of its proper divisors (33462525470400).

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

11139379200000 is an frugal number, since it uses more digits than its factorization.

11139379200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 11139379200000 in words is "eleven trillion, one hundred thirty-nine billion, three hundred seventy-nine million, two hundred thousand".