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13002523644 = 223111741913829
BaseRepresentation
bin11000001110000001…
…01100001111111100
31020120011112122020210
430013000230033330
5203112121224034
65550121112420
7640133425125
oct140700541774
936504478223
1013002523644
115572649510
12262a628710
1312c2a76596
148b4c2504c
1551179e8e9
hex30702c3fc

13002523644 has 96 divisors (see below), whose sum is σ = 35130412800. Its totient is φ = 3699266560.

The previous prime is 13002523637. The next prime is 13002523649. The reversal of 13002523644 is 44632520031.

It is a super-2 number, since 2×130025236442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002523649) 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, 933322 + ... + 947150.

It is an arithmetic number, because the mean of its divisors is an integer number (365941800).

Almost surely, 213002523644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002523644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565206400).

13002523644 is an abundant number, since it is smaller than the sum of its proper divisors (22127889156).

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

13002523644 is a wasteful number, since it uses less digits than its factorization.

13002523644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14283 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 13002523644 in words is "thirteen billion, two million, five hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 419 561 748 838 1122 1257 1676 2244 2514 4609 5028 7123 9218 13827 13829 14246 18436 21369 27654 27658 28492 41487 42738 55308 55316 78353 82974 85476 152119 156706 165948 235059 235093 304238 313412 456357 470118 470186 608476 705279 912714 940236 940372 1410558 1825428 2586023 2821116 5172046 5794351 7758069 10344092 11588702 15516138 17383053 23177404 31032276 34766106 63737861 69532212 98503967 127475722 191213583 197007934 254951444 295511901 382427166 394015868 591023802 764854332 1083543637 1182047604 2167087274 3250630911 4334174548 6501261822 13002523644