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15135450132 = 22311177399127
BaseRepresentation
bin11100001100010010…
…01010010000010100
31110001211000112100010
432012021022100110
5221444133401012
610541513120220
71044033126525
oct160611122024
943054015303
1015135450132
116467626780
122b249b9070
13157292246a
14a3820284c
155d8b6cc3c
hex38624a414

15135450132 has 96 divisors (see below), whose sum is σ = 40852546560. Its totient is φ = 4310392320.

The previous prime is 15135450089. The next prime is 15135450133. The reversal of 15135450132 is 23105453151.

It is a self number, because there is not a number n which added to its sum of digits gives 15135450132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15135450133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653753 + ... + 1662879.

It is an arithmetic number, because the mean of its divisors is an integer number (425547360).

Almost surely, 215135450132 is an apocalyptic number.

15135450132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15135450132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20426273280).

15135450132 is an abundant number, since it is smaller than the sum of its proper divisors (25717096428).

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

15135450132 is a wasteful number, since it uses less digits than its factorization.

15135450132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 15135450132 in words is "fifteen billion, one hundred thirty-five million, four hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 739 748 1122 1478 2217 2244 2956 4434 8129 8868 9127 12563 16258 18254 24387 25126 27381 32516 36508 37689 48774 50252 54762 75378 97548 100397 109524 138193 150756 155159 200794 276386 301191 310318 401588 414579 465477 552772 602382 620636 829158 930954 1204764 1658316 1706749 1861908 3413498 5120247 6744853 6826996 10240494 13489706 20234559 20480988 26979412 40469118 74193383 80938236 114662501 148386766 222580149 229325002 296773532 343987503 445160298 458650004 687975006 890320596 1261287511 1375950012 2522575022 3783862533 5045150044 7567725066 15135450132