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12692998054944 = 253380918159419
BaseRepresentation
bin1011100010110101000110…
…1000111110010000100000
31122221102211212011211122000
42320231101220332100200
53130430230000224234
642555025515244000
72450016216206034
oct270552150762040
948842755154560
1012692998054944
114054085550549
12150bba3449600
13710c3832246c
1431c4b6dbc1c4
15170292427899
hexb8b51a3e420

12692998054944 has 96 divisors (see below), whose sum is σ = 37067008104000. Its totient is φ = 4225769206272.

The previous prime is 12692998054901. The next prime is 12692998055011. The reversal of 12692998054944 is 44945089929621.

12692998054944 is a `hidden beast` number, since 1 + 26 + 9 + 29 + 98 + 0 + 5 + 494 + 4 = 666.

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

It is a super-2 number, since 2×126929980549442 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380734 + ... + 9778685.

It is an arithmetic number, because the mean of its divisors is an integer number (386114667750).

Almost surely, 212692998054944 is an apocalyptic number.

It is an amenable number.

12692998054944 is an abundant number, since it is smaller than the sum of its proper divisors (24374010049056).

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

12692998054944 is a wasteful number, since it uses less digits than its factorization.

12692998054944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18160247 (or 18160233 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 12692998054944 in words is "twelve trillion, six hundred ninety-two billion, nine hundred ninety-eight million, fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 809 864 1618 2427 3236 4854 6472 7281 9708 12944 14562 19416 21843 25888 29124 38832 43686 58248 77664 87372 116496 174744 232992 349488 698976 18159419 36318838 54478257 72637676 108956514 145275352 163434771 217913028 290550704 326869542 435826056 490304313 581101408 653739084 871652112 980608626 1307478168 1743304224 1961217252 2614956336 3922434504 5229912672 7844869008 14690969971 15689738016 29381939942 44072909913 58763879884 88145819826 117527759768 132218729739 176291639652 235055519536 264437459478 352583279304 396656189217 470111039072 528874918956 705166558608 793312378434 1057749837912 1410333117216 1586624756868 2115499675824 3173249513736 4230999351648 6346499027472 12692998054944