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13842511185756 = 22311176168676999
BaseRepresentation
bin1100100101101111010111…
…1101100100011101011100
31211000022221101221021000110
43021123311331210131130
53303243430330421011
645235054543130020
72626042221461451
oct311336575443534
954008841837013
1013842511185756
114457637766560
121676930ba3910
13795460031c76
1435bda427b828
1519011eb4aba6
hexc96f5f6475c

13842511185756 has 48 divisors (see below), whose sum is σ = 37308158496000. Its totient is φ = 3947953278720.

The previous prime is 13842511185733. The next prime is 13842511185787. The reversal of 13842511185756 is 65758111524831.

It is a super-2 number, since 2×138425111857562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13842511185696 and 13842511185705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3084336256 + ... + 3084340743.

It is an arithmetic number, because the mean of its divisors is an integer number (777253302000).

Almost surely, 213842511185756 is an apocalyptic number.

It is an amenable number.

13842511185756 is an abundant number, since it is smaller than the sum of its proper divisors (23465647310244).

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

13842511185756 is a wasteful number, since it uses less digits than its factorization.

13842511185756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168677034 (or 6168677032 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 57.

The spelling of 13842511185756 in words is "thirteen trillion, eight hundred forty-two billion, five hundred eleven million, one hundred eighty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 6168676999 12337353998 18506030997 24674707996 37012061994 67855446989 74024123988 104867508983 135710893978 203566340967 209735017966 271421787956 314602526949 407132681934 419470035932 629205053898 814265363868 1153542598813 1258410107796 2307085197626 3460627796439 4614170395252 6921255592878 13842511185756