Search a number
-
+
13093097472 = 212337131301
BaseRepresentation
bin11000011000110100…
…01101000000000000
31020210110222021012000
430030122031000000
5203303313104342
610003114304000
7642313330560
oct141432150000
936713867160
1013093097472
115609791a14
122654a28000
131308769770
148c2c80da0
155196e144c
hex30c68d000

13093097472 has 416 divisors, whose sum is σ = 47777775360. Its totient is φ = 3450470400.

The previous prime is 13093097471. The next prime is 13093097483. The reversal of 13093097472 is 27479039031.

13093097472 is a `hidden beast` number, since 1 + 3 + 0 + 93 + 0 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×130930974722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13093097471) 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, 10063222 + ... + 10064522.

Almost surely, 213093097472 is an apocalyptic number.

13093097472 is a gapful number since it is divisible by the number (12) 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 13093097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888887680).

13093097472 is an abundant number, since it is smaller than the sum of its proper divisors (34684677888).

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

13093097472 is a wasteful number, since it uses less digits than its factorization.

13093097472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 13093097472 in words is "thirteen billion, ninety-three million, ninety-seven thousand, four hundred seventy-two".