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13065076530 = 23251146128627
BaseRepresentation
bin11000010101011110…
…10011111100110010
31020201112020122200100
430022233103330302
5203224124422110
610000233533230
7641523214062
oct141257237462
936645218610
1013065076530
1155a4993410
122647574216
131302a0851c
148bd2693a2
15517008bc0
hex30abd3f32

13065076530 has 96 divisors (see below), whose sum is σ = 37138989888. Its totient is φ = 3160310400.

The previous prime is 13065076517. The next prime is 13065076543. The reversal of 13065076530 is 3567056031.

It is a happy number.

13065076530 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 50 + 76 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (13065076517) and next prime (13065076543).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442077 + ... + 470703.

It is an arithmetic number, because the mean of its divisors is an integer number (386864478).

Almost surely, 213065076530 is an apocalyptic number.

13065076530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065076530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18569494944).

13065076530 is an abundant number, since it is smaller than the sum of its proper divisors (24073913358).

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

13065076530 is a wasteful number, since it uses less digits than its factorization.

13065076530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112 (or 29109 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 13065076530 in words is "thirteen billion, sixty-five million, seventy-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 461 495 922 990 1383 2305 2766 4149 4610 5071 6915 8298 10142 13830 15213 20745 25355 28627 30426 41490 45639 50710 57254 76065 85881 91278 143135 152130 171762 228195 257643 286270 314897 429405 456390 515286 629794 858810 944691 1288215 1574485 1889382 2576430 2834073 3148970 4723455 5668146 9446910 13197047 14170365 26394094 28340730 39591141 65985235 79182282 118773423 131970470 145167517 197955705 237546846 290335034 395911410 435502551 593867115 725837585 871005102 1187734230 1306507653 1451675170 2177512755 2613015306 4355025510 6532538265 13065076530