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13372305016 = 237347103687
BaseRepresentation
bin11000111010000110…
…10010111001111000
31021111221100110221011
430131003102321320
5204341302230031
610050530523304
7652243501000
oct143503227170
937457313834
1013372305016
115742354754
122712436534
131351567525
1490bda1000
15533e946b1
hex31d0d2e78

13372305016 has 64 divisors (see below), whose sum is σ = 29862144000. Its totient is φ = 5608997856.

The previous prime is 13372305007. The next prime is 13372305017. The reversal of 13372305016 is 61050327331.

13372305016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13372305017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77125 + ... + 180811.

It is an arithmetic number, because the mean of its divisors is an integer number (466596000).

Almost surely, 213372305016 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 13372305016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931072000).

13372305016 is an abundant number, since it is smaller than the sum of its proper divisors (16489838984).

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

13372305016 is a wasteful number, since it uses less digits than its factorization.

13372305016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103761 (or 103743 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The spelling of 13372305016 in words is "thirteen billion, three hundred seventy-two million, three hundred five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 343 376 392 658 686 1316 1372 2303 2632 2744 4606 9212 16121 18424 32242 64484 103687 128968 207374 414748 725809 829496 1451618 2903236 4873289 5080663 5806472 9746578 10161326 19493156 20322652 34113023 35564641 38986312 40645304 68226046 71129282 136452092 142258564 238791161 272904184 284517128 477582322 955164644 1671538127 1910329288 3343076254 6686152508 13372305016