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13495945216 = 21113238993
BaseRepresentation
bin11001001000110101…
…11100100000000000
31021211120000001101211
430210122330200000
5210114430221331
610111104535504
7655304433025
oct144432744000
937746001354
1013495945216
1157a6122436
122747921594
131371067300
1492058754c
1553ec688b1
hex3246bc800

13495945216 has 72 divisors (see below), whose sum is σ = 29221518690. Its totient is φ = 6228738048.

The previous prime is 13495945207. The next prime is 13495945219. The reversal of 13495945216 is 61254959431.

It can be written as a sum of positive squares in 3 ways, for example, as 5160985600 + 8334959616 = 71840^2 + 91296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13495945216.

It is not an unprimeable number, because it can be changed into a prime (13495945219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 326616 + ... + 365608.

Almost surely, 213495945216 is an apocalyptic number.

13495945216 is a gapful number since it is divisible by the number (16) 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 13495945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610759345).

13495945216 is an abundant number, since it is smaller than the sum of its proper divisors (15725573474).

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

13495945216 is an equidigital number, since it uses as much as digits as its factorization.

13495945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39041 (or 39008 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The spelling of 13495945216 in words is "thirteen billion, four hundred ninety-five million, nine hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 5408 6656 10816 13312 21632 26624 38993 43264 77986 86528 155972 173056 311944 346112 506909 623888 1013818 1247776 2027636 2495552 4055272 4991104 6589817 8110544 9982208 13179634 16221088 19964416 26359268 32442176 39928832 52718536 64884352 79857664 105437072 129768704 210874144 259537408 421748288 519074816 843496576 1038149632 1686993152 3373986304 6747972608 13495945216