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12890415140 = 2255312160769
BaseRepresentation
bin11000000000101010…
…00010000000100100
31020021100120221021222
430000111002000210
5202344421241030
65531034155512
7634302502151
oct140025020044
936240527258
1012890415140
115515337759
1225b8b82b98
1312a57835a5
148a3da1228
15506a073e5
hex300542024

12890415140 has 24 divisors (see below), whose sum is σ = 27580626360. Its totient is φ = 5058879488.

The previous prime is 12890415137. The next prime is 12890415143. The reversal of 12890415140 is 4151409821.

It is an interprime number because it is at equal distance from previous prime (12890415137) and next prime (12890415143).

It can be written as a sum of positive squares in 4 ways, for example, as 6857164864 + 6033250276 = 82808^2 + 77674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12890415140.

It is not an unprimeable number, because it can be changed into a prime (12890415143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6079325 + ... + 6081444.

It is an arithmetic number, because the mean of its divisors is an integer number (1149192765).

Almost surely, 212890415140 is an apocalyptic number.

12890415140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12890415140 is an abundant number, since it is smaller than the sum of its proper divisors (14690211220).

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

12890415140 is a wasteful number, since it uses less digits than its factorization.

12890415140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12160831 (or 12160829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 12890415140 in words is "twelve billion, eight hundred ninety million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 12160769 24321538 48643076 60803845 121607690 243215380 644520757 1289041514 2578083028 3222603785 6445207570 12890415140