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13215953016 = 23327173151573
BaseRepresentation
bin11000100111011101…
…10111000001111000
31021010001010222022100
430103232313001320
5204031240444031
610023223423400
7645334514160
oct142356670170
937101128270
1013215953016
115672074122
122689bb4b60
131328053356
148d53015a0
155253acde6
hex313bb7078

13215953016 has 96 divisors (see below), whose sum is σ = 41143246560. Its totient is φ = 3754135296.

The previous prime is 13215953011. The next prime is 13215953027. The reversal of 13215953016 is 61035951231.

It is a happy number.

13215953016 is a `hidden beast` number, since 1 + 3 + 21 + 595 + 30 + 16 = 666.

It is a super-2 number, since 2×132159530162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215953011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11406 + ... + 162978.

It is an arithmetic number, because the mean of its divisors is an integer number (428575485).

Almost surely, 213215953016 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 13215953016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571623280).

13215953016 is an abundant number, since it is smaller than the sum of its proper divisors (27927293544).

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

13215953016 is a wasteful number, since it uses less digits than its factorization.

13215953016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151765 (or 151758 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 13215953016 in words is "thirteen billion, two hundred fifteen million, nine hundred fifty-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 2076 2422 3114 3633 4152 4844 6228 7266 9688 10899 12456 14532 21798 29064 43596 87192 151573 303146 454719 606292 909438 1061011 1212584 1364157 1818876 2122022 2728314 3183033 3637752 4244044 5456628 6366066 8488088 9549099 10913256 12732132 19098198 25464264 26222129 38196396 52444258 76392792 78666387 104888516 157332774 183554903 209777032 235999161 314665548 367109806 471998322 550664709 629331096 734219612 943996644 1101329418 1468439224 1651994127 1887993288 2202658836 3303988254 4405317672 6607976508 13215953016