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13418790534 = 2334112974673
BaseRepresentation
bin11000111111101001…
…00111111010000110
31021122011211012002000
430133310213322012
5204440202244114
610055311130130
7653346560202
oct143764477206
937564735060
1013418790534
115766614a36
122725b13946
13135b092056
14914221b02
155380c7e09
hex31fd27e86

13418790534 has 64 divisors (see below), whose sum is σ = 30576934080. Its totient is φ = 4359536640.

The previous prime is 13418790533. The next prime is 13418790587. The reversal of 13418790534 is 43509781431.

13418790534 is a `hidden beast` number, since 1 + 3 + 41 + 8 + 79 + 0 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13418790534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418790533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2869222 + ... + 2873894.

It is an arithmetic number, because the mean of its divisors is an integer number (477764595).

Almost surely, 213418790534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13418790534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288467040).

13418790534 is an abundant number, since it is smaller than the sum of its proper divisors (17158143546).

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

13418790534 is a wasteful number, since it uses less digits than its factorization.

13418790534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13418790534 in words is "thirteen billion, four hundred eighteen million, seven hundred ninety thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1297 2214 2594 3891 4673 7782 9346 11673 14019 23346 28038 35019 42057 53177 70038 84114 106354 126171 159531 191593 252342 319062 383186 478593 574779 957186 1149558 1435779 1724337 2871558 3448674 5173011 6060881 10346022 12121762 18182643 36365286 54547929 109095858 163643787 248496121 327287574 496992242 745488363 1490976726 2236465089 4472930178 6709395267 13418790534