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5056110600 = 2335279106669
BaseRepresentation
bin1001011010101111…
…00010000000001000
3111001100222000211120
410231113202000020
540323331014400
62153413555240
7236203142142
oct45527420010
914040860746
105056110600
112165051802
12b91345b20
13627676428
1435d709c92
151e8d3bca0
hex12d5e2008

5056110600 has 96 divisors (see below), whose sum is σ = 15872496000. Its totient is φ = 1331216640.

The previous prime is 5056110593. The next prime is 5056110649. The reversal of 5056110600 is 60116505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5935 + ... + 100734.

It is an arithmetic number, because the mean of its divisors is an integer number (165338500).

Almost surely, 25056110600 is an apocalyptic number.

5056110600 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 5056110600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936248000).

5056110600 is an abundant number, since it is smaller than the sum of its proper divisors (10816385400).

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

5056110600 is a wasteful number, since it uses less digits than its factorization.

5056110600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106767 (or 106758 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5056110600 is about 71106.3330512831. Note that the first 3 decimals coincide. The cubic root of 5056110600 is about 1716.3486856705.

The spelling of 5056110600 in words is "five billion, fifty-six million, one hundred ten thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 47400 106669 213338 320007 426676 533345 640014 853352 1066690 1280028 1600035 2133380 2560056 2666725 3200070 4266760 5333450 6400140 8000175 8426851 10666900 12800280 16000350 16853702 21333800 25280553 32000700 33707404 42134255 50561106 64001400 67414808 84268510 101122212 126402765 168537020 202244424 210671275 252805530 337074040 421342550 505611060 632013825 842685100 1011222120 1264027650 1685370200 2528055300 5056110600