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55431110600 = 23523139412
BaseRepresentation
bin110011100111111100…
…111001111111001000
312022002002102011202022
4303213330321333020
51402010331014400
641244213024012
74001430444305
oct634774717710
9168062364668
1055431110600
1121565464908
12a8ab925008
1352c5013538
14297bb740ac
1516965a7b85
hexce7f39fc8

55431110600 has 72 divisors (see below), whose sum is σ = 129426622230. Its totient is φ = 22078118400.

The previous prime is 55431110597. The next prime is 55431110617. The reversal of 55431110600 is 601113455.

It can be written as a sum of positive squares in 9 ways, for example, as 20775364 + 55410335236 = 4558^2 + 235394^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55431110600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58906130 + ... + 58907070.

Almost surely, 255431110600 is an apocalyptic number.

55431110600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55431110600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64713311115).

55431110600 is an abundant number, since it is smaller than the sum of its proper divisors (73995511630).

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

55431110600 is an equidigital number, since it uses as much as digits as its factorization.

55431110600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 55431110600 in words is "fifty-five billion, four hundred thirty-one million, one hundred ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 941 1252 1565 1882 2504 3130 3764 4705 6260 7528 7825 9410 12520 15650 18820 23525 31300 37640 47050 62600 94100 188200 294533 589066 885481 1178132 1472665 1770962 2356264 2945330 3541924 4427405 5890660 7083848 7363325 8854810 11781320 14726650 17709620 22137025 29453300 35419240 44274050 58906600 88548100 177096200 277155553 554311106 1108622212 1385777765 2217244424 2771555530 5543111060 6928888825 11086222120 13857777650 27715555300 55431110600