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13580022468 = 22343101260573
BaseRepresentation
bin11001010010110111…
…01011001011000100
31022001102012121201010
430221123223023010
5210302441204333
610123311002220
7660345200145
oct145133531304
938042177633
1013580022468
115839628971
12276bb09370
1313855c446c
1492b7d1acc
15547325563
hex3296eb2c4

13580022468 has 48 divisors (see below), whose sum is σ = 32744771136. Its totient is φ = 4377609600.

The previous prime is 13580022451. The next prime is 13580022487. The reversal of 13580022468 is 86422008531.

13580022468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135800224682 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 78171 + ... + 182402.

It is an arithmetic number, because the mean of its divisors is an integer number (682182732).

Almost surely, 213580022468 is an apocalyptic number.

It is an amenable number.

13580022468 is an abundant number, since it is smaller than the sum of its proper divisors (19164748668).

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

13580022468 is a wasteful number, since it uses less digits than its factorization.

13580022468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260724 (or 260722 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 13580022468 in words is "thirteen billion, five hundred eighty million, twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 43 86 101 129 172 202 258 303 404 516 606 1212 4343 8686 13029 17372 26058 52116 260573 521146 781719 1042292 1563438 3126876 11204639 22409278 26317873 33613917 44818556 52635746 67227834 78953619 105271492 134455668 157907238 315814476 1131668539 2263337078 3395005617 4526674156 6790011234 13580022468