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13280311845 = 3254124192
BaseRepresentation
bin11000101111001000…
…10111101000100101
31021021112020202000200
430113210113220211
5204144224434340
610033443101113
7650045534223
oct142744275045
937245222020
1013280311845
1156a5431939
1226a7671799
1313384982b8
148dda95b13
1552ad72330
hex317917a25

13280311845 has 54 divisors (see below), whose sum is σ = 23650790514. Its totient is φ = 6893589120.

The previous prime is 13280311777. The next prime is 13280311853. The reversal of 13280311845 is 54811308231.

13280311845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 764743716 + 12515568129 = 27654^2 + 111873^2 .

It is not a de Polignac number, because 13280311845 - 210 = 13280310821 is a prime.

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 53 ways as a sum of consecutive naturals, for example, 31695046 + ... + 31695464.

Almost surely, 213280311845 is an apocalyptic number.

13280311845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13280311845 is a deficient number, since it is larger than the sum of its proper divisors (10370478669).

13280311845 is an frugal number, since it uses more digits than its factorization.

13280311845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13280311845 in words is "thirteen billion, two hundred eighty million, three hundred eleven thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 419 615 1257 1681 1845 2095 3771 5043 6285 8405 15129 17179 18855 25215 51537 75645 85895 154611 175561 257685 526683 704339 773055 877805 1580049 2113017 2633415 3521695 6339051 7198001 7900245 10565085 21594003 31695255 35990005 64782009 107970015 295118041 323910045 885354123 1475590205 2656062369 4426770615 13280311845