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11139806172 = 2231117192271151
BaseRepresentation
bin10100101111111101…
…11111001111011100
31001202100111210020210
422113332333033130
5140303242244142
65041220412420
7543024535005
oct122776771734
931670453223
1011139806172
1147a7148290
1221aa847110
131086b976b1
147796a41ac
15452ea849c
hex297fbf3dc

11139806172 has 192 divisors, whose sum is σ = 31770869760. Its totient is φ = 2994048000.

The previous prime is 11139806101. The next prime is 11139806173. The reversal of 11139806172 is 27160893111.

It is a self number, because there is not a number n which added to its sum of digits gives 11139806172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11139806173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9677797 + ... + 9678947.

It is an arithmetic number, because the mean of its divisors is an integer number (165473280).

Almost surely, 211139806172 is an apocalyptic number.

11139806172 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 11139806172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885434880).

11139806172 is an abundant number, since it is smaller than the sum of its proper divisors (20631063588).

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

11139806172 is a wasteful number, since it uses less digits than its factorization.

11139806172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11139806172 in words is "eleven billion, one hundred thirty-nine million, eight hundred six thousand, one hundred seventy-two".