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5132105352 = 23331119113683
BaseRepresentation
bin1001100011110010…
…11011011010001000
3111020122221222001000
410301321123122020
541002304332402
62205130455000
7241115114163
oct46171333210
914218858030
105132105352
1121a3a37790
12bb2894460
1363a33373a
1436984cada
1520084dc1c
hex131e5b688

5132105352 has 128 divisors (see below), whose sum is σ = 16370496000. Its totient is φ = 1473318720.

The previous prime is 5132105339. The next prime is 5132105369. The reversal of 5132105352 is 2535012315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11698 + ... + 101985.

It is an arithmetic number, because the mean of its divisors is an integer number (127894500).

Almost surely, 25132105352 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 5132105352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185248000).

5132105352 is an abundant number, since it is smaller than the sum of its proper divisors (11238390648).

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

5132105352 is a wasteful number, since it uses less digits than its factorization.

5132105352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113728 (or 113718 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5132105352 is about 71638.7140588104. The cubic root of 5132105352 is about 1724.9050261511.

Adding to 5132105352 its reverse (2535012315), we get a palindrome (7667117667).

It can be divided in two parts, 513 and 2105352, that multiplied together give a cube (1080045576 = 10263).

The spelling of 5132105352 in words is "five billion, one hundred thirty-two million, one hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 113683 227366 341049 454732 682098 909464 1023147 1250513 1364196 2046294 2159977 2501026 2728392 3069441 3751539 4092588 4319954 5002052 6138882 6479931 7503078 8185176 8639908 10004104 11254617 12277764 12959862 15006156 17279816 19439793 22509234 23759747 24555528 25919724 30012312 33763851 38879586 45018468 47519494 51839448 58319379 67527702 71279241 77759172 90036936 95038988 116638758 135055404 142558482 155518344 190077976 213837723 233277516 270110808 285116964 427675446 466555032 570233928 641513169 855350892 1283026338 1710701784 2566052676 5132105352