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13362133144 = 23171036771409
BaseRepresentation
bin11000111000111000…
…11111100010011000
31021111020012200202011
430130130133202120
5204331201230034
610045524515304
7652061154253
oct143434374230
937436180664
1013362133144
115737637448
12270ab4bb34
13134c415679
1490a8b409a
15533135864
hex31c71f898

13362133144 has 64 divisors (see below), whose sum is σ = 26843918400. Its totient is φ = 6213402624.

The previous prime is 13362133133. The next prime is 13362133157. The reversal of 13362133144 is 44133126331.

13362133144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9482712 + ... + 9484120.

It is an arithmetic number, because the mean of its divisors is an integer number (419436225).

Almost surely, 213362133144 is an apocalyptic number.

It is an amenable number.

13362133144 is an abundant number, since it is smaller than the sum of its proper divisors (13481785256).

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

13362133144 is a wasteful number, since it uses less digits than its factorization.

13362133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2208 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

Adding to 13362133144 its reverse (44133126331), we get a palindrome (57495259475).

The spelling of 13362133144 in words is "thirteen billion, three hundred sixty-two million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 103 136 206 412 677 824 1354 1409 1751 2708 2818 3502 5416 5636 7004 11272 11509 14008 23018 23953 46036 47906 69731 92072 95812 139462 145127 191624 278924 290254 557848 580508 953893 1161016 1185427 1907786 2370854 2467159 3815572 4741708 4934318 7631144 9483416 9868636 16216181 19737272 32432362 64864724 98250979 129729448 196501958 393003916 786007832 1670266643 3340533286 6681066572 13362133144