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13345566690 = 2352331162191
BaseRepresentation
bin11000110110111010…
…10010111111100010
31021110002001000211210
430123131102333202
5204312431113230
610044133450550
7651500305461
oct143335227742
937402030753
1013345566690
115729251865
1227054a0a56
131348b65031
149086009d8
15531961eb0
hex31b752fe2

13345566690 has 64 divisors (see below), whose sum is σ = 33529946112. Its totient is φ = 3393086400.

The previous prime is 13345566677. The next prime is 13345566697. The reversal of 13345566690 is 9666554331.

It is a super-2 number, since 2×133455666902 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13345566697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183495 + ... + 245685.

It is an arithmetic number, because the mean of its divisors is an integer number (523905408).

Almost surely, 213345566690 is an apocalyptic number.

13345566690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13345566690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764973056).

13345566690 is an abundant number, since it is smaller than the sum of its proper divisors (20184379422).

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

13345566690 is a wasteful number, since it uses less digits than its factorization.

13345566690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62535.

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 13345566690 in words is "thirteen billion, three hundred forty-five million, five hundred sixty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 311 345 622 690 933 1555 1866 3110 4665 7153 9330 14306 21459 35765 42918 62191 71530 107295 124382 186573 214590 310955 373146 621910 932865 1430393 1865730 2860786 4291179 7151965 8582358 14303930 19341401 21455895 38682802 42911790 58024203 96707005 116048406 193414010 290121015 444852223 580242030 889704446 1334556669 2224261115 2669113338 4448522230 6672783345 13345566690