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5130993672 = 2332799110273
BaseRepresentation
bin1001100011101010…
…01100000000001000
3111020120212111002200
410301311030000020
541002013244142
62205051000200
7241102504140
oct46165140010
914216774080
105130993672
1121a3348542
12bb2439060
1363a03473c
1436963d920
152006ce64c
hex131d4c008

5130993672 has 96 divisors (see below), whose sum is σ = 15899220480. Its totient is φ = 1464376320.

The previous prime is 5130993661. The next prime is 5130993689. The reversal of 5130993672 is 2763990315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494328 + ... + 504600.

It is an arithmetic number, because the mean of its divisors is an integer number (165616880).

Almost surely, 25130993672 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 5130993672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949610240).

5130993672 is an abundant number, since it is smaller than the sum of its proper divisors (10768226808).

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

5130993672 is a wasteful number, since it uses less digits than its factorization.

5130993672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 5130993672 is about 71630.9547053507. The cubic root of 5130993672 is about 1724.7804716223.

The spelling of 5130993672 in words is "five billion, one hundred thirty million, nine hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 991 1982 2973 3964 5946 6937 7928 8919 10273 11892 13874 17838 20546 20811 23784 27748 30819 35676 41092 41622 55496 61638 62433 71352 71911 82184 83244 92457 123276 124866 143822 166488 184914 215733 246552 249732 287644 369828 431466 499464 575288 647199 739656 862932 1294398 1725864 2588796 5177592 10180543 20361086 30541629 40722172 61083258 71263801 81444344 91624887 122166516 142527602 183249774 213791403 244333032 285055204 366499548 427582806 570110408 641374209 732999096 855165612 1282748418 1710331224 2565496836 5130993672