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13553061678 = 23213313735009
BaseRepresentation
bin11001001111101001…
…10100111100101110
31021222112110212110100
430213310310330232
5210224040433203
610120505051530
7656600060232
oct144764647456
937875425410
1013553061678
115825393922
122762a86ba6
13137cb44930
14927db45c2
15544c9bea3
hex327d34f2e

13553061678 has 96 divisors (see below), whose sum is σ = 32737985280. Its totient is φ = 4024028160.

The previous prime is 13553061659. The next prime is 13553061689. The reversal of 13553061678 is 87616035531.

13553061678 is a `hidden beast` number, since 1 + 35 + 530 + 6 + 16 + 78 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2703238 + ... + 2708246.

It is an arithmetic number, because the mean of its divisors is an integer number (341020680).

Almost surely, 213553061678 is an apocalyptic number.

13553061678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553061678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368992640).

13553061678 is an abundant number, since it is smaller than the sum of its proper divisors (19184923602).

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

13553061678 is a wasteful number, since it uses less digits than its factorization.

13553061678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13553061678 in words is "thirteen billion, five hundred fifty-three million, sixty-one thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 373 403 558 746 806 1119 1209 2238 2418 3357 3627 4849 5009 6714 7254 9698 10018 11563 14547 15027 23126 29094 30054 34689 43641 45081 65117 69378 87282 90162 104067 130234 150319 155279 195351 208134 300638 310558 390702 450957 465837 586053 901914 931674 1172106 1352871 1397511 1868357 2018627 2705742 2795022 3736714 4037254 5605071 6055881 11210142 12111762 16815213 18167643 24288641 33630426 36335286 48577282 57919067 72865923 115838134 145731846 173757201 218597769 347514402 437195538 521271603 752947871 1042543206 1505895742 2258843613 4517687226 6776530839 13553061678