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5130201152 = 262329472557
BaseRepresentation
bin1001100011100100…
…01010100001000000
3111020112101012222002
410301302022201000
541001312414102
62205022003132
7241062663446
oct46162124100
914215335862
105130201152
1121a295706a
12bb21164a8
13639b17aab
143694b4b96
152005c4902
hex131c8a840

5130201152 has 112 divisors (see below), whose sum is σ = 11227368960. Its totient is φ = 2317658112.

The previous prime is 5130201149. The next prime is 5130201157. The reversal of 5130201152 is 2511020315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5130201157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2005058 + ... + 2007614.

Almost surely, 25130201152 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 5130201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613684480).

5130201152 is an abundant number, since it is smaller than the sum of its proper divisors (6097167808).

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

5130201152 is a wasteful number, since it uses less digits than its factorization.

5130201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5130201152 is about 71625.4225258043. The cubic root of 5130201152 is about 1724.6916653410.

Adding to 5130201152 its reverse (2511020315), we get a palindrome (7641221467).

The spelling of 5130201152 in words is "five billion, one hundred thirty million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 29 32 46 47 58 64 92 94 116 184 188 232 368 376 464 667 736 752 928 1081 1334 1363 1472 1504 1856 2162 2557 2668 2726 3008 4324 5114 5336 5452 8648 10228 10672 10904 17296 20456 21344 21808 31349 34592 40912 42688 43616 58811 62698 69184 74153 81824 87232 117622 120179 125396 148306 163648 235244 240358 250792 296612 470488 480716 501584 593224 940976 961432 1003168 1186448 1705519 1881952 1922864 2006336 2372896 2764117 3411038 3485191 3763904 3845728 4745792 5528234 6822076 6970382 7691456 11056468 13644152 13940764 22112936 27288304 27881528 44225872 54576608 55763056 80159393 88451744 109153216 111526112 160318786 176903488 223052224 320637572 641275144 1282550288 2565100576 5130201152