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13371002944 = 261319383269
BaseRepresentation
bin11000111001111100…
…10101000001000000
31021111211220022211021
430130332111001000
5204340434043234
610050442555224
7652226435605
oct143476250100
937454808737
1013371002944
115741645462
122711b08b14
1313511cc980
1490bb426ac
15533cd89b4
hex31cf95040

13371002944 has 56 divisors (see below), whose sum is σ = 28722487640. Its totient is φ = 6139183104.

The previous prime is 13371002921. The next prime is 13371002969. The reversal of 13371002944 is 44920017331.

It can be written as a sum of positive squares in 4 ways, for example, as 1577042944 + 11793960000 = 39712^2 + 108600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118942 + ... + 202210.

It is an arithmetic number, because the mean of its divisors is an integer number (512901565).

Almost surely, 213371002944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13371002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361243820).

13371002944 is an abundant number, since it is smaller than the sum of its proper divisors (15351484696).

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

13371002944 is a wasteful number, since it uses less digits than its factorization.

13371002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83487 (or 83477 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 13371002944 in words is "thirteen billion, three hundred seventy-one million, two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 386 416 772 832 1544 2509 3088 5018 6176 10036 12352 20072 40144 80288 83269 160576 166538 333076 666152 1082497 1332304 2164994 2664608 4329988 5329216 8659976 16070917 17319952 32141834 34639904 64283668 69279808 128567336 208921921 257134672 417843842 514269344 835687684 1028538688 1671375368 3342750736 6685501472 13371002944