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13392906240 = 211357611021
BaseRepresentation
bin11000111100100011…
…11000100000000000
31021120101010010111110
430132101320200000
5204412040444430
610052544243320
7652613552610
oct143621704000
937511103443
1013392906240
115752a4575a
122719310540
1313558cb4bc
14910a04a40
15535bb37b0
hex31e478800

13392906240 has 384 divisors, whose sum is σ = 49819311360. Its totient is φ = 3008102400.

The previous prime is 13392906229. The next prime is 13392906281. The reversal of 13392906240 is 4260929331.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13116930 + ... + 13117950.

It is an arithmetic number, because the mean of its divisors is an integer number (129737790).

Almost surely, 213392906240 is an apocalyptic number.

13392906240 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 13392906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909655680).

13392906240 is an abundant number, since it is smaller than the sum of its proper divisors (36426405120).

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

13392906240 is a wasteful number, since it uses less digits than its factorization.

13392906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 13392906240 in words is "thirteen billion, three hundred ninety-two million, nine hundred six thousand, two hundred forty".