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12157477673583 = 31110729209117877
BaseRepresentation
bin1011000011101010001000…
…1000110101101001101111
31121001020120112002210102110
42300322202020311221233
53043142003241023313
641505022415055103
72363230426111254
oct260724210655157
947036515083373
1012157477673583
113967a59224880
12144424a811493
136a25a3210a68
143005d450d42b
1516139d221ec3
hexb0ea2235a6f

12157477673583 has 32 divisors (see below), whose sum is σ = 17849633713920. Its totient is φ = 7298995080960.

The previous prime is 12157477673533. The next prime is 12157477673623. The reversal of 12157477673583 is 38537677475121.

It is a happy number.

12157477673583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12157477673583 - 26 = 12157477673519 is a prime.

It is a super-2 number, since 2×121574776735832 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157477673513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103078041 + ... + 103195917.

It is an arithmetic number, because the mean of its divisors is an integer number (557801053560).

Almost surely, 212157477673583 is an apocalyptic number.

12157477673583 is a deficient number, since it is larger than the sum of its proper divisors (5692156040337).

12157477673583 is a wasteful number, since it uses less digits than its factorization.

12157477673583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147207.

The product of its digits is 207446400, while the sum is 66.

The spelling of 12157477673583 in words is "twelve trillion, one hundred fifty-seven billion, four hundred seventy-seven million, six hundred seventy-three thousand, five hundred eighty-three".

Divisors: 1 3 11 33 107 321 1177 3531 29209 87627 117877 321299 353631 963897 1296647 3125363 3889941 9376089 12612839 34378993 37838517 103136979 138741229 416223687 3443069293 10329207879 37873762223 113621286669 368408414351 1105225243053 4052492557861 12157477673583