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13630134765 = 35132231571489
BaseRepresentation
bin11001011000110101…
…10101100111101101
31022011220111120212010
430230122311213231
5210403303303030
610132301031433
7661524143142
oct145432654755
938156446763
1013630134765
115864945a95
122784855579
131392abba00
149343183c9
1554b9236b0
hex32c6b59ed

13630134765 has 96 divisors (see below), whose sum is σ = 24815151360. Its totient is φ = 6373306368.

The previous prime is 13630134737. The next prime is 13630134767. The reversal of 13630134765 is 56743103631.

It is not a de Polignac number, because 13630134765 - 215 = 13630101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630134767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9153141 + ... + 9154629.

It is an arithmetic number, because the mean of its divisors is an integer number (258491160).

Almost surely, 213630134765 is an apocalyptic number.

13630134765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13630134765 is a deficient number, since it is larger than the sum of its proper divisors (11185016595).

13630134765 is a wasteful number, since it uses less digits than its factorization.

13630134765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 13630134765 in words is "thirteen billion, six hundred thirty million, one hundred thirty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 13 15 23 39 65 69 115 157 169 195 299 345 471 507 785 845 897 1489 1495 2041 2355 2535 3611 3887 4467 4485 6123 7445 10205 10833 11661 18055 19357 19435 22335 26533 30615 34247 46943 54165 58071 58305 79599 96785 102741 132665 140829 171235 233773 234715 251641 290355 397995 445211 513705 610259 701319 704145 754923 1168865 1258205 1335633 1830777 2226055 3039049 3051295 3506595 3774615 5376779 5787743 6678165 9117147 9153885 15195245 16130337 17363229 26883895 28938715 39507637 45585735 69898127 80651685 86816145 118522911 197538185 209694381 349490635 592614555 908675651 1048471905 2726026953 4543378255 13630134765