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135950126976 = 273339337421
BaseRepresentation
bin111111010011101000…
…0100100111110000000
3110222220121011000101000
41332213100210332000
54211411213030401
6142242111012000
712551654004216
oct1764720447600
9428817130330
10135950126976
1152724336644
122242150a000
13ca8782ac21
146819814cb6
15380a3e9186
hex1fa7424f80

135950126976 has 64 divisors (see below), whose sum is σ = 401241704400. Its totient is φ = 45316707840.

The previous prime is 135950126969. The next prime is 135950126987. The reversal of 135950126976 is 679621059531.

135950126976 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 501 + 2 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19665255 + ... + 19672166.

Almost surely, 2135950126976 is an apocalyptic number.

135950126976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135950126976 is an abundant number, since it is smaller than the sum of its proper divisors (265291577424).

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

135950126976 is an equidigital number, since it uses as much as digits as its factorization.

135950126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39337444 (or 39337426 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 135950126976 in words is "one hundred thirty-five billion, nine hundred fifty million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 39337421 78674842 118012263 157349684 236024526 314699368 354036789 472049052 629398736 708073578 944098104 1062110367 1258797472 1416147156 1888196208 2124220734 2517594944 2832294312 3776392416 4248441468 5035189888 5664588624 7552784832 8496882936 11329177248 15105569664 16993765872 22658354496 33987531744 45316708992 67975063488 135950126976