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12477952557 = 3872371049
BaseRepresentation
bin10111001111011111…
…00111001000101101
31012012121110200000000
423213233213020231
5201023323440212
65422101454513
7621133563300
oct134757471055
935177420000
1012477952557
11532352a494
122502a11439
13123b19a5a5
148652b4b37
154d06d11dc
hex2e7be722d

12477952557 has 108 divisors (see below), whose sum is σ = 22381386300. Its totient is φ = 6930935424.

The previous prime is 12477952541. The next prime is 12477952559. The reversal of 12477952557 is 75525977421.

12477952557 is a `hidden beast` number, since 1 + 2 + 47 + 79 + 525 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11242148841 + 1235803716 = 106029^2 + 35154^2 .

It is not a de Polignac number, because 12477952557 - 24 = 12477952541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12477952559) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11894569 + ... + 11895617.

Almost surely, 212477952557 is an apocalyptic number.

It is an amenable number.

12477952557 is a deficient number, since it is larger than the sum of its proper divisors (9903433743).

12477952557 is an frugal number, since it uses more digits than its factorization.

12477952557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1096 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 12477952557 in words is "twelve billion, four hundred seventy-seven million, nine hundred fifty-two thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 243 259 333 441 567 729 777 999 1049 1323 1701 1813 2187 2331 2997 3147 3969 5103 5439 6561 6993 7343 8991 9441 11907 15309 16317 20979 22029 26973 28323 35721 38813 45927 48951 51401 62937 66087 80919 84969 107163 116439 146853 154203 188811 198261 242757 254907 271691 321489 349317 440559 462609 566433 594783 764721 815073 1047951 1321677 1387827 1699299 1784349 1901837 2294163 2445219 3143853 3965031 4163481 5353047 5705511 6882489 7335657 9431559 11895093 12490443 16059141 17116533 22006971 28294677 37471329 48177423 51349599 66020913 84884031 112413987 154048797 198062739 254652093 337241961 462146391 594188217 1386439173 1782564651 4159317519 12477952557