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55966917900 = 223521011847093
BaseRepresentation
bin110100000111111000…
…110110010100001100
312100110102122000012010
4310013320312110030
51404110012333100
641413313141220
74020624644565
oct640770662414
9170412560163
1055966917900
112180a958863
12aa1b25a810
13537c02498a
1429ccdab16c
1516c8645750
hexd07e3650c

55966917900 has 72 divisors (see below), whose sum is σ = 163534314384. Its totient is φ = 14776736000.

The previous prime is 55966917893. The next prime is 55966917901. The reversal of 55966917900 is 971966955.

It is not an unprimeable number, because it can be changed into a prime (55966917901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 893247 + ... + 953846.

It is an arithmetic number, because the mean of its divisors is an integer number (2271309922).

Almost surely, 255966917900 is an apocalyptic number.

55966917900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55966917900 is an abundant number, since it is smaller than the sum of its proper divisors (107567396484).

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

55966917900 is a wasteful number, since it uses less digits than its factorization.

55966917900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847211 (or 1847204 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 57.

The spelling of 55966917900 in words is "fifty-five billion, nine hundred sixty-six million, nine hundred seventeen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 1847093 3694186 5541279 7388372 9235465 11082558 18470930 22165116 27706395 36941860 46177325 55412790 92354650 110825580 138531975 184709300 186556393 277063950 373112786 554127900 559669179 746225572 932781965 1119338358 1865563930 2238676716 2798345895 3731127860 4663909825 5596691790 9327819650 11193383580 13991729475 18655639300 27983458950 55966917900