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12214177385634 = 2327821118072979
BaseRepresentation
bin1011000110111101010110…
…1101000100110010100010
31121020122221000121121012200
42301233111231010302202
53100104113402320014
641551040550434030
72400305462524230
oct261572555046242
947218830547180
1012214177385634
11398a004790734
121453233362916
136a7a3acb7833
1430325294d950
15162abad66a09
hexb1bd5b44ca2

12214177385634 has 48 divisors (see below), whose sum is σ = 30281468742720. Its totient is φ = 3485514310560.

The previous prime is 12214177385591. The next prime is 12214177385653. The reversal of 12214177385634 is 43658377141221.

12214177385634 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 1 + 7 + 73 + 8 + 563 + 4 = 666.

12214177385634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122141773856342 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58933044 + ... + 59139935.

It is an arithmetic number, because the mean of its divisors is an integer number (630863932140).

Almost surely, 212214177385634 is an apocalyptic number.

12214177385634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12214177385634 is an abundant number, since it is smaller than the sum of its proper divisors (18067291357086).

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

12214177385634 is a wasteful number, since it uses less digits than its factorization.

12214177385634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118073815 (or 118073812 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 12214177385634 in words is "twelve trillion, two hundred fourteen billion, one hundred seventy-seven million, three hundred eighty-five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 821 1642 2463 4926 5747 7389 11494 14778 17241 34482 51723 103446 118072979 236145958 354218937 708437874 826510853 1062656811 1653021706 2125313622 2479532559 4959065118 7438597677 14877195354 96937915759 193875831518 290813747277 581627494554 678565410313 872441241831 1357130820626 1744882483662 2035696230939 4071392461878 6107088692817 12214177385634