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5096330800 = 2452112350359
BaseRepresentation
bin1001011111100001…
…11101011000110000
3111011011122102120121
410233300331120300
540414130041200
62201412020024
7240202045201
oct45760753060
914134572517
105096330800
112185822840
12ba2901614
13632ab9272
14364bb95a8
151ec633e1a
hex12fc3d630

5096330800 has 120 divisors (see below), whose sum is σ = 13938036480. Its totient is φ = 1772601600.

The previous prime is 5096330773. The next prime is 5096330809. The reversal of 5096330800 is 80336905.

It is not an unprimeable number, because it can be changed into a prime (5096330809) 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, 76021 + ... + 126379.

It is an arithmetic number, because the mean of its divisors is an integer number (116150304).

Almost surely, 25096330800 is an apocalyptic number.

5096330800 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 5096330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969018240).

5096330800 is an abundant number, since it is smaller than the sum of its proper divisors (8841705680).

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

5096330800 is a wasteful number, since it uses less digits than its factorization.

5096330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50411 (or 50400 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5096330800 is about 71388.5901247531. The cubic root of 5096330800 is about 1720.8877245512.

The spelling of 5096330800 in words is "five billion, ninety-six million, three hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50359 50600 100718 101200 201436 251795 402872 503590 553949 805744 1007180 1107898 1158257 1258975 2014360 2215796 2316514 2517950 2769745 4028720 4431592 4633028 5035900 5539490 5791285 8863184 9266056 10071800 11078980 11582570 12740827 13848725 18532112 20143600 22157960 23165140 25481654 27697450 28956425 44315920 46330280 50963308 55394900 57912850 63704135 92660560 101926616 110789800 115825700 127408270 203853232 221579600 231651400 254816540 318520675 463302800 509633080 637041350 1019266160 1274082700 2548165400 5096330800