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13059497664 = 263243527273
BaseRepresentation
bin11000010100110100…
…00001111011000000
31020201010202012220200
430022122001323000
5203221212411124
65555514205200
7641424620133
oct141232017300
936633665820
1013059497664
1155a1822984
122645723800
131301804115
148bc61621a
155167a5bc9
hex30a681ec0

13059497664 has 84 divisors (see below), whose sum is σ = 38303292456. Its totient is φ = 4251921408.

The previous prime is 13059497641. The next prime is 13059497687. The reversal of 13059497664 is 46679495031.

It is an interprime number because it is at equal distance from previous prime (13059497641) and next prime (13059497687).

It is a super-4 number, since 4×130594976644 (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13059497664.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 238869 + ... + 288404.

Almost surely, 213059497664 is an apocalyptic number.

It is an amenable number.

13059497664 is an abundant number, since it is smaller than the sum of its proper divisors (25243794792).

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

13059497664 is a wasteful number, since it uses less digits than its factorization.

13059497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527334 (or 527321 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13059497664 in words is "thirteen billion, fifty-nine million, four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 12384 24768 527273 1054546 1581819 2109092 3163638 4218184 4745457 6327276 8436368 9490914 12654552 16872736 18981828 22672739 25309104 33745472 37963656 45345478 50618208 68018217 75927312 90690956 101236416 136036434 151854624 181381912 204054651 272072868 303709248 362763824 408109302 544145736 725527648 816218604 1088291472 1451055296 1632437208 2176582944 3264874416 4353165888 6529748832 13059497664