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13197013648 = 2471322739929
BaseRepresentation
bin11000100101001101…
…00111001010010000
31021001201111202101021
430102212213022100
5204011413414043
610021305445224
7645014523310
oct142246471220
937051452337
1013197013648
115662408755
1226837a0814
131324151920
148d29b1440
155238bb3ed
hex3129a7290

13197013648 has 80 divisors (see below), whose sum is σ = 31609226880. Its totient is φ = 5197667328.

The previous prime is 13197013573. The next prime is 13197013663. The reversal of 13197013648 is 84631079131.

It is a super-2 number, since 2×131970136482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310548 + ... + 350476.

It is an arithmetic number, because the mean of its divisors is an integer number (395115336).

Almost surely, 213197013648 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 13197013648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804613440).

13197013648 is an abundant number, since it is smaller than the sum of its proper divisors (18412213232).

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

13197013648 is a wasteful number, since it uses less digits than its factorization.

13197013648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40184 (or 40178 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 13197013648 in words is "thirteen billion, one hundred ninety-seven million, thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 227 364 454 728 908 1456 1589 1816 2951 3178 3632 5902 6356 11804 12712 20657 23608 25424 39929 41314 47216 79858 82628 159716 165256 279503 319432 330512 519077 559006 638864 1038154 1118012 2076308 2236024 3633539 4152616 4472048 7267078 8305232 9063883 14534156 18127766 29068312 36255532 58136624 63447181 72511064 117830479 126894362 145022128 235660958 253788724 471321916 507577448 824813353 942643832 1015154896 1649626706 1885287664 3299253412 6598506824 13197013648