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13468012992 = 26337331733
BaseRepresentation
bin11001000101100000…
…11001000111000000
31021202121102221121000
430202300121013000
5210040302403432
610104230132000
7654515136000
oct144260310700
937677387530
1013468012992
115791384555
12273a4b1000
131368337575
1491a996000
1553c59c57c
hex322c191c0

13468012992 has 448 divisors, whose sum is σ = 47727616000. Its totient is φ = 3718794240.

The previous prime is 13468012979. The next prime is 13468012997. The reversal of 13468012992 is 29921086431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13468012997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18373458 + ... + 18374190.

Almost surely, 213468012992 is an apocalyptic number.

13468012992 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 13468012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863808000).

13468012992 is an abundant number, since it is smaller than the sum of its proper divisors (34259603008).

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

13468012992 is an equidigital number, since it uses as much as digits as its factorization.

13468012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13468012992 in words is "thirteen billion, four hundred sixty-eight million, twelve thousand, nine hundred ninety-two".