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126997838784 = 2632220482359
BaseRepresentation
bin111011001000110101…
…0010011101111000000
3110010210200211122122200
41312101222103233000
54040042421320114
6134201512233200
712114060550515
oct1662152235700
9403720748580
10126997838784
114994aa72a63
122074339b800
13bc8bc1468b
14620a89d30c
1534844e4409
hex1d91a93bc0

126997838784 has 42 divisors (see below), whose sum is σ = 364016376360. Its totient is φ = 42332612736.

The previous prime is 126997838771. The next prime is 126997838831. The reversal of 126997838784 is 487838799621.

126997838784 is a `hidden beast` number, since 12 + 6 + 99 + 78 + 387 + 84 = 666.

126997838784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1269978387842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110240604 + ... + 110241755.

It is an arithmetic number, because the mean of its divisors is an integer number (8667056580).

Almost surely, 2126997838784 is an apocalyptic number.

It is an amenable number.

126997838784 is an abundant number, since it is smaller than the sum of its proper divisors (237018537576).

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

126997838784 is a wasteful number, since it uses less digits than its factorization.

126997838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220482377 (or 220482364 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 126997838784 in words is "one hundred twenty-six billion, nine hundred ninety-seven million, eight hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 220482359 440964718 661447077 881929436 1322894154 1763858872 1984341231 2645788308 3527717744 3968682462 5291576616 7055435488 7937364924 10583153232 14110870976 15874729848 21166306464 31749459696 42332612928 63498919392 126997838784