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422109541598688 = 253212671115670281
BaseRepresentation
bin101111111111010000000100…
…1010010001000010111100000
32001100120021111201102020202100
41133332200021102020113200
5420311320320122124223
64053430240230450400
7154624256640462636
oct13776401122102740
92040507451366670
10422109541598688
1111255171894a969
123b4137a7503a00
131516b9b3614068
1476342d46d1356
1533c0087bdc043
hex17fe8094885e0

422109541598688 has 72 divisors (see below), whose sum is σ = 1200468753259776. Its totient is φ = 140692074969600.

The previous prime is 422109541598671. The next prime is 422109541598713. The reversal of 422109541598688 is 886895145901224.

422109541598688 is a `hidden beast` number, since 4 + 2 + 2 + 10 + 9 + 541 + 5 + 9 + 8 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 54185893 + ... + 61484388.

It is an arithmetic number, because the mean of its divisors is an integer number (16673177128608).

Almost surely, 2422109541598688 is an apocalyptic number.

422109541598688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422109541598688 is an abundant number, since it is smaller than the sum of its proper divisors (778359211661088).

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

422109541598688 is a wasteful number, since it uses less digits than its factorization.

422109541598688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115682968 (or 115682957 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 422109541598688 in words is "four hundred twenty-two trillion, one hundred nine billion, five hundred forty-one million, five hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12671 25342 38013 50684 76026 101368 114039 152052 202736 228078 304104 405472 456156 608208 912312 1216416 1824624 3649248 115670281 231340562 347010843 462681124 694021686 925362248 1041032529 1388043372 1850724496 2082065058 2776086744 3701448992 4164130116 5552173488 8328260232 11104346976 16656520464 33313040928 1465658130551 2931316261102 4396974391653 5862632522204 8793948783306 11725265044408 13190923174959 17587897566612 23450530088816 26381846349918 35175795133224 46901060177632 52763692699836 70351590266448 105527385399672 140703180532896 211054770799344 422109541598688