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13039748680 = 2357317371511
BaseRepresentation
bin11000010010011101…
…01100011001001000
31020122202120212101211
430021032230121020
5203201133424210
65553531022504
7641065015000
oct141116543110
936582525354
1013039748680
115591664202
12263ab9aa34
1312ca6ab02a
148b9b55000
15514ba438a
hex3093ac648

13039748680 has 256 divisors, whose sum is σ = 37231488000. Its totient is φ = 4091351040.

The previous prime is 13039748677. The next prime is 13039748713. The reversal of 13039748680 is 8684793031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8629125 + ... + 8630635.

It is an arithmetic number, because the mean of its divisors is an integer number (145435500).

Almost surely, 213039748680 is an apocalyptic number.

13039748680 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 13039748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744000).

13039748680 is an abundant number, since it is smaller than the sum of its proper divisors (24191739320).

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

13039748680 is a wasteful number, since it uses less digits than its factorization.

13039748680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 13039748680 in words is "thirteen billion, thirty-nine million, seven hundred forty-eight thousand, six hundred eighty".