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13233083649 = 3232157173307
BaseRepresentation
bin11000101001100000…
…01101010100000001
31021011020101022010020
430110300031110001
5204100132134044
610025034524053
7645633232542
oct142460152401
937136338106
1013233083649
115680804675
122693896629
13132b770716
148d76c04c9
15526b43a19
hex314c0d501

13233083649 has 48 divisors (see below), whose sum is σ = 18730189632. Its totient is φ = 8309119104.

The previous prime is 13233083621. The next prime is 13233083651. The reversal of 13233083649 is 94638033231.

It is not a de Polignac number, because 13233083649 - 29 = 13233083137 is a prime.

It is a super-2 number, since 2×132330836492 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13233083649.

It is not an unprimeable number, because it can be changed into a prime (13233083749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43104354 + ... + 43104660.

It is an arithmetic number, because the mean of its divisors is an integer number (390212284).

Almost surely, 213233083649 is an apocalyptic number.

It is an amenable number.

13233083649 is a deficient number, since it is larger than the sum of its proper divisors (5497105983).

13233083649 is a wasteful number, since it uses less digits than its factorization.

13233083649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 13233083649 in words is "thirteen billion, two hundred thirty-three million, eighty-three thousand, six hundred forty-nine".

Divisors: 1 3 23 69 157 173 307 471 519 529 921 1587 3611 3979 7061 10833 11937 21183 27161 48199 53111 81483 83053 91517 144597 159333 162403 249159 274551 487209 624703 1108577 1221553 1874109 3325731 3664659 8338427 14368169 25015281 25497271 28095719 43104507 76491813 84287157 191783821 575351463 4411027883 13233083649