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13276661216 = 2571329157217
BaseRepresentation
bin11000101110101100…
…11100010111100000
31021021021101021022012
430113112130113200
5204142311124331
610033232532052
7650002521050
oct142726342740
937237337265
1013276661216
1156a3369095
1226a63b1028
1313377ba770
148dd3c5560
1552a8a082b
hex31759c5e0

13276661216 has 96 divisors (see below), whose sum is σ = 33279906240. Its totient is φ = 5071159296.

The previous prime is 13276661161. The next prime is 13276661249. The reversal of 13276661216 is 61216667231.

13276661216 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 an unprimeable number.

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, 5840 + ... + 163056.

It is an arithmetic number, because the mean of its divisors is an integer number (346665690).

Almost surely, 213276661216 is an apocalyptic number.

13276661216 is a gapful number since it is divisible by the number (16) 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 13276661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639953120).

13276661216 is an abundant number, since it is smaller than the sum of its proper divisors (20003245024).

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

13276661216 is a wasteful number, since it uses less digits than its factorization.

13276661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157276 (or 157268 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The spelling of 13276661216 in words is "thirteen billion, two hundred seventy-six million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 21112 42224 84448 157217 314434 628868 1100519 1257736 2043821 2201038 2515472 4087642 4402076 4559293 5030944 8175284 8804152 9118586 14306747 16350568 17608304 18237172 28613494 31915051 32701136 35216608 36474344 57226988 59270809 63830102 65402272 72948688 114453976 118541618 127660204 145897376 228907952 237083236 255320408 414895663 457815904 474166472 510640816 829791326 948332944 1021281632 1659582652 1896665888 3319165304 6638330608 13276661216