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11585139188 = 227314956671
BaseRepresentation
bin10101100101000011…
…10011000111110100
31002220101111001022012
422302201303013310
5142211243423223
65153325423352
7560043026000
oct126241630764
932811431265
1011585139188
114a055665a7
1222b3a0ab58
13112821c05c
147bc8a9700
1547c123c78
hex2b28731f4

11585139188 has 48 divisors (see below), whose sum is σ = 23802240000. Its totient is φ = 4931650080.

The previous prime is 11585139179. The next prime is 11585139193. The reversal of 11585139188 is 88193158511.

11585139188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176093 + ... + 232763.

It is an arithmetic number, because the mean of its divisors is an integer number (495880000).

Almost surely, 211585139188 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 11585139188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901120000).

11585139188 is an abundant number, since it is smaller than the sum of its proper divisors (12217100812).

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

11585139188 is a wasteful number, since it uses less digits than its factorization.

11585139188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56845 (or 56829 counting only the distinct ones).

The product of its digits is 345600, while the sum is 50.

The spelling of 11585139188 in words is "eleven billion, five hundred eighty-five million, one hundred thirty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 343 596 686 1043 1372 2086 4172 7301 14602 29204 51107 56671 102214 113342 204428 226684 396697 793394 1586788 2776879 5553758 8443979 11107516 16887958 19438153 33775916 38876306 59107853 77752612 118215706 236431412 413754971 827509942 1655019884 2896284797 5792569594 11585139188