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13564492992 = 2632132117827
BaseRepresentation
bin11001010001000000…
…11011110011000000
31022000022222122021100
430220200123303000
5210240002233432
610121554054400
7660066200541
oct145040336300
938008878240
1013564492992
115830891396
12276687a400
131382317b1b
1492970c4c8
15545ca907c
hex32881bcc0

13564492992 has 84 divisors (see below), whose sum is σ = 38911785016. Its totient is φ = 4517821440.

The previous prime is 13564492927. The next prime is 13564493051. The reversal of 13564492992 is 29929446531.

13564492992 is a `hidden beast` number, since 1 + 3 + 5 + 64 + 492 + 9 + 92 = 666.

It is a super-2 number, since 2×135644929922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751983 + ... + 769809.

Almost surely, 213564492992 is an apocalyptic number.

13564492992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13564492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455892508).

13564492992 is an abundant number, since it is smaller than the sum of its proper divisors (25347292024).

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

13564492992 is a wasteful number, since it uses less digits than its factorization.

13564492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166 (or 19153 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 13564492992 in words is "thirteen billion, five hundred sixty-four million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1321 2642 3963 5284 7926 10568 11889 15852 17827 21136 23778 31704 35654 42272 47556 53481 63408 71308 84544 95112 106962 126816 142616 160443 190224 213924 253632 285232 320886 380448 427848 570464 641772 760896 855696 1140928 1283544 1711392 2567088 3422784 5134176 10268352 23549467 47098934 70648401 94197868 141296802 188395736 211945203 282593604 376791472 423890406 565187208 753582944 847780812 1130374416 1507165888 1695561624 2260748832 3391123248 4521497664 6782246496 13564492992