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13318459764 = 22323371498753
BaseRepresentation
bin11000110011101011…
…11001000101110100
31021101012000212010120
430121311321011310
5204234011203024
610041324451540
7651021016521
oct143165710564
937335025116
1013318459764
115714a17a45
1226b83a9bb0
131343363b2c
14904b86148
1552e3aa479
hex319d79174

13318459764 has 96 divisors (see below), whose sum is σ = 33531321600. Its totient is φ = 4103497728.

The previous prime is 13318459717. The next prime is 13318459769. The reversal of 13318459764 is 46795481331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318459769) 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, 1517212 + ... + 1525964.

It is an arithmetic number, because the mean of its divisors is an integer number (349284600).

Almost surely, 213318459764 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 13318459764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765660800).

13318459764 is an abundant number, since it is smaller than the sum of its proper divisors (20212861836).

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

13318459764 is a wasteful number, since it uses less digits than its factorization.

13318459764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8967 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 13318459764 in words is "thirteen billion, three hundred eighteen million, four hundred fifty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 149 222 276 298 444 447 596 851 894 1702 1788 2553 3404 3427 5106 5513 6854 8753 10212 10281 11026 13708 16539 17506 20562 22052 26259 33078 35012 41124 52518 66156 105036 126799 201319 253598 323861 380397 402638 507196 603957 647722 760794 805276 971583 1207914 1295444 1304197 1521588 1943166 2415828 2608394 3886332 3912591 5216788 7448803 7825182 14897606 15650364 22346409 29795212 29996531 44692818 48255289 59993062 89385636 89989593 96510578 119986124 144765867 179979186 193021156 289531734 359958372 579063468 1109871647 2219743294 3329614941 4439486588 6659229882 13318459764