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13358642701284 = 22333761331165569
BaseRepresentation
bin1100001001100100110100…
…1001110010001111100100
31202022001222210000102222000
43002121031021302033210
53222332000012420114
644224513054205300
72546062422304446
oct302311511621744
952261883012860
1013358642701284
114290406600481
1215b8bb24b3830
1375b939c9696a
143427c1662496
1518275033ae09
hexc264d2723e4

13358642701284 has 192 divisors, whose sum is σ = 36262108243200. Its totient is φ = 4248607334400.

The previous prime is 13358642701253. The next prime is 13358642701357. The reversal of 13358642701284 is 48210724685331.

13358642701284 is a `hidden beast` number, since 1 + 3 + 3 + 586 + 42 + 7 + 0 + 12 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13358642701284.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80600452 + ... + 80766020.

It is an arithmetic number, because the mean of its divisors is an integer number (188865147100).

Almost surely, 213358642701284 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 13358642701284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131054121600).

13358642701284 is an abundant number, since it is smaller than the sum of its proper divisors (22903465541916).

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

13358642701284 is a wasteful number, since it uses less digits than its factorization.

13358642701284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166011 (or 166003 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 13358642701284 in words is "thirteen trillion, three hundred fifty-eight billion, six hundred forty-two million, seven hundred one thousand, two hundred eighty-four".