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126243641116656 = 2434713915745273
BaseRepresentation
bin11100101101000101100011…
…011000100100011111110000
3121112222202220102001200220000
4130231011203120210133300
5113021333434111213111
61124255310022350000
735406542054053530
oct3455054330443760
9545882812050800
10126243641116656
113725269a277718
12121aaa43b8b300
13555995530618b
142326320d214c0
15e8dd4802dc56
hex72d1636247f0

126243641116656 has 100 divisors (see below), whose sum is σ = 417583684182192. Its totient is φ = 36069611745024.

The previous prime is 126243641116603. The next prime is 126243641116657. The reversal of 126243641116656 is 656611146342621.

126243641116656 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 436 + 41 + 1 + 166 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126243641116657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6957863565 + ... + 6957881708.

Almost surely, 2126243641116656 is an apocalyptic number.

126243641116656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126243641116656 is an abundant number, since it is smaller than the sum of its proper divisors (291340043065536).

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

126243641116656 is a wasteful number, since it uses less digits than its factorization.

126243641116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915745300 (or 13915745285 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 126243641116656 in words is "one hundred twenty-six trillion, two hundred forty-three billion, six hundred forty-one million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 13915745273 27831490546 41747235819 55662981092 83494471638 97410216911 111325962184 125241707457 166988943276 194820433822 222651924368 250483414914 292230650733 333977886552 375725122371 389640867644 500966829828 584461301466 667955773104 751450244742 779281735288 876691952199 1001933659656 1127175367113 1168922602932 1502900489484 1558563470576 1753383904398 2003867319312 2254350734226 2337845205864 2630075856597 3005800978968 3506767808796 4508701468452 4675690411728 5260151713194 6011601957936 7013535617592 7890227569791 9017402936904 10520303426388 14027071235184 15780455139582 18034805873808 21040606852776 31560910279164 42081213705552 63121820558328 126243641116656