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13653376056 = 23321756319813
BaseRepresentation
bin11001011011100110…
…11111110000111000
31022020112020100220200
430231303133300320
5210430231013211
610134451122200
7662225532045
oct145563376070
938215210820
1013653376056
115876a7a571
1227905a3360
131397868558
149374481cc
1554d9b4b56
hex32dcdfc38

13653376056 has 96 divisors (see below), whose sum is σ = 39224586960. Its totient is φ = 4275588096.

The previous prime is 13653376043. The next prime is 13653376063. The reversal of 13653376056 is 65067335631.

13653376056 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 3 + 37 + 605 + 6 = 666.

It is a congruent number.

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, 679206 + ... + 699018.

Almost surely, 213653376056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13653376056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612293480).

13653376056 is an abundant number, since it is smaller than the sum of its proper divisors (25571210904).

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

13653376056 is a wasteful number, since it uses less digits than its factorization.

13653376056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405 (or 20398 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 13653376056 in words is "thirteen billion, six hundred fifty-three million, three hundred seventy-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 563 612 1126 1224 1689 2252 3378 4504 5067 6756 9571 10134 13512 19142 19813 20268 28713 38284 39626 40536 57426 59439 76568 79252 86139 114852 118878 158504 172278 178317 229704 237756 336821 344556 356634 475512 673642 689112 713268 1010463 1347284 1426536 2020926 2694568 3031389 4041852 6062778 8083704 11154719 12125556 22309438 24251112 33464157 44618876 66928314 89237752 100392471 133856628 189630223 200784942 267713256 379260446 401569884 568890669 758520892 803139768 1137781338 1517041784 1706672007 2275562676 3413344014 4551125352 6826688028 13653376056