Search a number
-
+
531250004032 = 261119109364373
BaseRepresentation
bin1111011101100001111…
…01111100000001000000
31212210020201121101210021
413232300331330001000
532201000000112112
61044015231143224
753244604345666
oct7566075740100
91783221541707
10531250004032
11195335861010
1286b62674b14
133b134494517
141b9d9696c36
15dc44373907
hex7bb0f7c040

531250004032 has 112 divisors (see below), whose sum is σ = 1221673147200. Its totient is φ = 226668533760.

The previous prime is 531250004023. The next prime is 531250004071. The reversal of 531250004032 is 230400052135.

It is a junction number, because it is equal to n+sod(n) for n = 531250003988 and 531250004006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275798 + ... + 1640170.

Almost surely, 2531250004032 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 531250004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610836573600).

531250004032 is an abundant number, since it is smaller than the sum of its proper divisors (690423143168).

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

531250004032 is a wasteful number, since it uses less digits than its factorization.

531250004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364524 (or 364514 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 531250004032 its reverse (230400052135), we get a palindrome (761650056167).

The spelling of 531250004032 in words is "five hundred thirty-one billion, two hundred fifty million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 109 152 176 209 218 304 352 418 436 608 704 836 872 1199 1216 1672 1744 2071 2398 3344 3488 4142 4796 6688 6976 8284 9592 13376 16568 19184 22781 33136 38368 45562 66272 76736 91124 132544 182248 364373 364496 728746 728992 1457492 1457984 2914984 4008103 5829968 6923087 8016206 11659936 13846174 16032412 23319872 27692348 32064824 39716657 55384696 64129648 76153957 79433314 110769392 128259296 152307914 158866628 221538784 256518592 304615828 317733256 436883227 443077568 609231656 635466512 754616483 873766454 1218463312 1270933024 1509232966 1747532908 2436926624 2541866048 3018465932 3495065816 4873853248 6036931864 6990131632 8300781313 12073863728 13980263264 16601562626 24147727456 27960526528 33203125252 48295454912 66406250504 132812501008 265625002016 531250004032