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13364186688 = 263223201713
BaseRepresentation
bin11000111001001000…
…10100111001000000
31021111101002000200100
430130210110321000
5204332212433223
610050040522400
7652114466256
oct143444247100
937441060610
1013364186688
11573880a296
12270b780400
13134c984298
1490ac8a5d6
155333de043
hex31c914e40

13364186688 has 42 divisors (see below), whose sum is σ = 38306029814. Its totient is φ = 4454728704.

The previous prime is 13364186681. The next prime is 13364186711. The reversal of 13364186688 is 88668146331.

It can be written as a sum of positive squares in only one way, i.e., 11472980544 + 1891206144 = 107112^2 + 43488^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13364186681) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11600281 + ... + 11601432.

Almost surely, 213364186688 is an apocalyptic number.

13364186688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13364186688 is an abundant number, since it is smaller than the sum of its proper divisors (24941843126).

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

13364186688 is a wasteful number, since it uses less digits than its factorization.

13364186688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23201731 (or 23201718 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 13364186688 in words is "thirteen billion, three hundred sixty-four million, one hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23201713 46403426 69605139 92806852 139210278 185613704 208815417 278420556 371227408 417630834 556841112 742454816 835261668 1113682224 1484909632 1670523336 2227364448 3341046672 4454728896 6682093344 13364186688