Search a number
-
+
5163312192 = 263297312703
BaseRepresentation
bin1001100111100000…
…11110010001000000
3111022211200102202220
410303300132101000
541033301442232
62212203411040
7241644300213
oct46360362100
914284612686
105163312192
11220a611965
121001223a80
1364393bb1c
1436da5377a
1520346542c
hex133c1e440

5163312192 has 112 divisors (see below), whose sum is σ = 14327063040. Its totient is φ = 1638862848.

The previous prime is 5163312157. The next prime is 5163312227. The reversal of 5163312192 is 2912133615.

It is an interprime number because it is at equal distance from previous prime (5163312157) and next prime (5163312227).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400113 + ... + 412815.

Almost surely, 25163312192 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 5163312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163531520).

5163312192 is an abundant number, since it is smaller than the sum of its proper divisors (9163750848).

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

5163312192 is a wasteful number, since it uses less digits than its factorization.

5163312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820 (or 12810 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 5163312192 is about 71856.1910485102. The cubic root of 5163312192 is about 1728.3941787660.

The spelling of 5163312192 in words is "five billion, one hundred sixty-three million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 146 174 192 219 232 292 348 438 464 584 696 876 928 1168 1392 1752 1856 2117 2336 2784 3504 4234 4672 5568 6351 7008 8468 12702 12703 14016 16936 25404 25406 33872 38109 50808 50812 67744 76218 101616 101624 135488 152436 203232 203248 304872 368387 406464 406496 609744 736774 812992 927319 1105161 1219488 1473548 1854638 2210322 2438976 2781957 2947096 3709276 4420644 5563914 5894192 7418552 8841288 11127828 11788384 14837104 17682576 22255656 23576768 26892251 29674208 35365152 44511312 53784502 59348416 70730304 80676753 89022624 107569004 161353506 178045248 215138008 322707012 430276016 645414024 860552032 1290828048 1721104064 2581656096 5163312192