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13453216164 = 22322691389221
BaseRepresentation
bin11001000011101111…
…11100100110100100
31021201120121012011100
430201313330212210
5210023010404124
610102541040100
7654245310363
oct144167744644
937646535140
1013453216164
115783a98473
122735556030
13136525654b
14918a237da
1553b1281c9
hex321dfc9a4

13453216164 has 36 divisors (see below), whose sum is σ = 34133184540. Its totient is φ = 4467731520.

The previous prime is 13453216163. The next prime is 13453216181. The reversal of 13453216164 is 46161235431.

13453216164 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 32 + 1 + 616 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4069419264 + 9383796900 = 63792^2 + 96870^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (13453216163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684927 + ... + 704294.

It is an arithmetic number, because the mean of its divisors is an integer number (948144015).

Almost surely, 213453216164 is an apocalyptic number.

It is an amenable number.

13453216164 is an abundant number, since it is smaller than the sum of its proper divisors (20679968376).

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

13453216164 is a wasteful number, since it uses less digits than its factorization.

13453216164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389500 (or 1389495 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 13453216164 in words is "thirteen billion, four hundred fifty-three million, two hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 1389221 2778442 4167663 5556884 8335326 12502989 16670652 25005978 50011956 373700449 747400898 1121101347 1494801796 2242202694 3363304041 4484405388 6726608082 13453216164