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12133338408 = 233356172863
BaseRepresentation
bin10110100110011010…
…00000110100101000
31011022121000110021000
423103031000310220
5144322113312113
65323551315000
7606450450312
oct132315006450
934277013230
1012133338408
115166a53804
12242751ba60
1311b497b9a9
1483160a7b2
154b030d373
hex2d3340d28

12133338408 has 32 divisors (see below), whose sum is σ = 33703718400. Its totient is φ = 4044446064.

The previous prime is 12133338367. The next prime is 12133338409. The reversal of 12133338408 is 80483333121.

12133338408 is a `hidden beast` number, since 1 + 213 + 3 + 3 + 38 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12133338409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28086216 + ... + 28086647.

It is an arithmetic number, because the mean of its divisors is an integer number (1053241200).

Almost surely, 212133338408 is an apocalyptic number.

12133338408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12133338408 is an abundant number, since it is smaller than the sum of its proper divisors (21570379992).

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

12133338408 is a wasteful number, since it uses less digits than its factorization.

12133338408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56172878 (or 56172868 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12133338408 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 56172863 112345726 168518589 224691452 337037178 449382904 505555767 674074356 1011111534 1348148712 1516667301 2022223068 3033334602 4044446136 6066669204 12133338408