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126906850944 = 2732883124759
BaseRepresentation
bin111011000110000111…
…1001101111010000000
3110010120100121222210200
41312030033031322000
54034401123212234
6134144502125200
712111604302036
oct1661417157200
9403510558720
10126906850944
11499036774a5
1220718a20800
13bc76107c13
1461dc776556
15347b51ed99
hex1d8c3cde80

126906850944 has 96 divisors (see below), whose sum is σ = 365604189600. Its totient is φ = 42254037504.

The previous prime is 126906850877. The next prime is 126906850969. The reversal of 126906850944 is 449058609621.

126906850944 is a `hidden beast` number, since 1 + 2 + 6 + 90 + 6 + 8 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1269068509442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954837 + ... + 1079595.

It is an arithmetic number, because the mean of its divisors is an integer number (3808376975).

Almost surely, 2126906850944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126906850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182802094800).

126906850944 is an abundant number, since it is smaller than the sum of its proper divisors (238697338656).

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

126906850944 is a wasteful number, since it uses less digits than its factorization.

126906850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125662 (or 125647 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 126906850944 in words is "one hundred twenty-six billion, nine hundred six million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 883 1152 1766 2649 3532 5298 7064 7947 10596 14128 15894 21192 28256 31788 42384 56512 63576 84768 113024 124759 127152 169536 249518 254304 339072 374277 499036 508608 748554 998072 1017216 1122831 1497108 1996144 2245662 2994216 3992288 4491324 5988432 7984576 8982648 11976864 15969152 17965296 23953728 35930592 47907456 71861184 110162197 143722368 220324394 330486591 440648788 660973182 881297576 991459773 1321946364 1762595152 1982919546 2643892728 3525190304 3965839092 5287785456 7050380608 7931678184 10575570912 14100761216 15863356368 21151141824 31726712736 42302283648 63453425472 126906850944