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5188576404 = 22311415318089
BaseRepresentation
bin1001101010100001…
…10110010010010100
3111101121012222202110
410311100312102110
541111233421104
62214505111020
7242402112624
oct46520662224
914347188673
105188576404
1122228a8280
121009788470
13648c4636b
1437314c884
152057a5e89
hex135436494

5188576404 has 96 divisors (see below), whose sum is σ = 13785448320. Its totient is φ = 1504921600.

The previous prime is 5188576403. The next prime is 5188576439. The reversal of 5188576404 is 4046758815.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188576403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277792 + ... + 295880.

It is an arithmetic number, because the mean of its divisors is an integer number (143598420).

Almost surely, 25188576404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188576404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892724160).

5188576404 is an abundant number, since it is smaller than the sum of its proper divisors (8596871916).

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

5188576404 is a wasteful number, since it uses less digits than its factorization.

5188576404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18201 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 5188576404 is about 72031.7735725006. The cubic root of 5188576404 is about 1731.2086182743.

The spelling of 5188576404 in words is "five billion, one hundred eighty-eight million, five hundred seventy-six thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 53 66 82 106 123 132 159 164 212 246 318 451 492 583 636 902 1166 1353 1749 1804 2173 2332 2706 3498 4346 5412 6519 6996 8692 13038 18089 23903 26076 36178 47806 54267 71709 72356 95612 108534 143418 198979 217068 286836 397958 596937 741649 795916 958717 1193874 1483298 1917434 2224947 2387748 2876151 2966596 3834868 4449894 5752302 8158139 8899788 10545887 11504604 16316278 21091774 24474417 31637661 32632556 39307397 42183548 48948834 63275322 78614794 97897668 117922191 126550644 157229588 235844382 432381367 471688764 864762734 1297144101 1729525468 2594288202 5188576404