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55144400260 = 22523347345473
BaseRepresentation
bin110011010110110111…
…001100010110000100
312021100002220210002211
4303112313030112010
51400413431302020
641155531513204
73661346445145
oct632667142604
9167302823084
1055144400260
1121428638114
12a82b8b8804
13527a7b9751
142951a5dacc
15167b32185a
hexcd6dcc584

55144400260 has 48 divisors (see below), whose sum is σ = 121186751616. Its totient is φ = 21037862912.

The previous prime is 55144400249. The next prime is 55144400279. The reversal of 55144400260 is 6200444155.

It is a happy number.

55144400260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13117 + ... + 332356.

It is an arithmetic number, because the mean of its divisors is an integer number (2524723992).

Almost surely, 255144400260 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 55144400260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60593375808).

55144400260 is an abundant number, since it is smaller than the sum of its proper divisors (66042351356).

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

55144400260 is a wasteful number, since it uses less digits than its factorization.

55144400260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345852 (or 345850 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 55144400260 in words is "fifty-five billion, one hundred forty-four million, four hundred thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 347 460 694 1388 1735 3470 6940 7981 15962 31924 39905 79810 159620 345473 690946 1381892 1727365 3454730 6909460 7945879 15891758 31783516 39729395 79458790 119879131 158917580 239758262 479516524 599395655 1198791310 2397582620 2757220013 5514440026 11028880052 13786100065 27572200130 55144400260