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13234076460 = 22365111943101
BaseRepresentation
bin11000101001100111…
…11111101100101100
31021011022020202000000
430110303333230230
5204100410421320
610025112104300
7645644536203
oct142463775454
937138222000
1013234076460
115681322580
122694095090
13132ba2a597
148d789c23a
15526c8cc90
hex314cffb2c

13234076460 has 672 divisors, whose sum is σ = 49446270720. Its totient is φ = 2939328000.

The previous prime is 13234076447. The next prime is 13234076461. The reversal of 13234076460 is 6467043231.

It is a happy number.

13234076460 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 0 + 7 + 646 + 0 = 666.

It is a super-2 number, since 2×132340764602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234076461) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 131030410 + ... + 131030510.

It is an arithmetic number, because the mean of its divisors is an integer number (73580760).

Almost surely, 213234076460 is an apocalyptic number.

13234076460 is a gapful number since it is divisible by the number (10) 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 13234076460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24723135360).

13234076460 is an abundant number, since it is smaller than the sum of its proper divisors (36212194260).

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

13234076460 is a wasteful number, since it uses less digits than its factorization.

13234076460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13234076460 in words is "thirteen billion, two hundred thirty-four million, seventy-six thousand, four hundred sixty".