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5204578100 = 2252431916337
BaseRepresentation
bin1001101100011011…
…11000111100110100
3111102201022221221212
410312031320330310
541124332444400
62220240100552
7242655120041
oct46615707464
914381287855
105204578100
112230937617
121013004758
1364c359917
143753161c8
15206db7335
hex136378f34

5204578100 has 72 divisors (see below), whose sum is σ = 11618923008. Its totient is φ = 2022451200.

The previous prime is 5204578091. The next prime is 5204578187. The reversal of 5204578100 is 18754025.

It is a super-2 number, since 2×52045781002 = 54175266397999220000, which contains 22 as substring.

It is a congruent number.

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, 818132 + ... + 824468.

Almost surely, 25204578100 is an apocalyptic number.

5204578100 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 5204578100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809461504).

5204578100 is an abundant number, since it is smaller than the sum of its proper divisors (6414344908).

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

5204578100 is a wasteful number, since it uses less digits than its factorization.

5204578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 5204578100 is about 72142.7619377024. The cubic root of 5204578100 is about 1732.9864883745.

The spelling of 5204578100 in words is "five billion, two hundred four million, five hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 191 215 382 430 764 860 955 1075 1910 2150 3820 4300 4775 6337 8213 9550 12674 16426 19100 25348 31685 32852 41065 63370 82130 126740 158425 164260 205325 272491 316850 410650 544982 633700 821300 1089964 1210367 1362455 2420734 2724910 4841468 5449820 6051835 6812275 12103670 13624550 24207340 27249100 30259175 52045781 60518350 104091562 121036700 208183124 260228905 520457810 1040915620 1301144525 2602289050 5204578100