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13180067964 = 22327318716411
BaseRepresentation
bin11000100011001011…
…11110000001111100
31021000112121211021100
430101211332001330
5203443044133324
610015502333100
7644420505060
oct142145760174
937015554240
1013180067964
115653894158
122679b8a190
13132079a7ab
148d063daa0
155221704c9
hex31197e07c

13180067964 has 72 divisors (see below), whose sum is σ = 38090019968. Its totient is φ = 3764322720.

The previous prime is 13180067963. The next prime is 13180067969. The reversal of 13180067964 is 46976008131.

It is a happy number.

13180067964 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 not an unprimeable number, because it can be changed into a prime (13180067963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 794919 + ... + 811329.

Almost surely, 213180067964 is an apocalyptic number.

13180067964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13180067964 is an abundant number, since it is smaller than the sum of its proper divisors (24909952004).

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

13180067964 is a wasteful number, since it uses less digits than its factorization.

13180067964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13180067964 in words is "thirteen billion, one hundred eighty million, sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3187 6374 9561 12748 16411 19122 22309 28683 32822 38244 44618 49233 57366 65644 66927 89236 98466 114732 114877 133854 147699 196932 200781 229754 267708 295398 344631 401562 459508 590796 689262 803124 1033893 1378524 2067786 4135572 52301857 104603714 156905571 209207428 313811142 366112999 470716713 627622284 732225998 941433426 1098338997 1464451996 1882866852 2196677994 3295016991 4393355988 6590033982 13180067964