Search a number
-
+
531521875464 = 2334322312911789
BaseRepresentation
bin1111011110000010010…
…11000010111000001000
31212210221200011220021120
413233001023002320020
532202024100003324
61044102222235240
753254415253036
oct7570113027010
91783850156246
10531521875464
11195465273048
1287019725b20
133b1788c40a8
141ba23827556
15dc5d178179
hex7bc12c2e08

531521875464 has 128 divisors (see below), whose sum is σ = 1367626444800. Its totient is φ = 172047939840.

The previous prime is 531521875447. The next prime is 531521875471. The reversal of 531521875464 is 464578125135.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297104682 + ... + 297106470.

It is an arithmetic number, because the mean of its divisors is an integer number (10684581600).

Almost surely, 2531521875464 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 531521875464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683813222400).

531521875464 is an abundant number, since it is smaller than the sum of its proper divisors (836104569336).

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

531521875464 is a wasteful number, since it uses less digits than its factorization.

531521875464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3351 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The spelling of 531521875464 in words is "five hundred thirty-one billion, five hundred twenty-one million, eight hundred seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 223 258 344 446 516 669 892 1032 1291 1338 1784 1789 2582 2676 3578 3873 5164 5352 5367 7156 7746 9589 10328 10734 14312 15492 19178 21468 28767 30984 38356 42936 55513 57534 76712 76927 111026 115068 153854 166539 222052 230136 230781 287893 307708 333078 398947 444104 461562 575786 615416 666156 797894 863679 923124 1151572 1196841 1332312 1595788 1727358 1846248 2303144 2309599 2393682 3191576 3454716 4619198 4787364 6909432 6928797 9238396 9574728 12379399 13857594 17154721 18476792 24758798 27715188 34309442 37138197 49517596 51464163 55430376 68618884 74276394 99035192 99312757 102928326 137237768 148552788 198625514 205856652 297105576 297938271 397251028 411713304 515040577 595876542 794502056 1030081154 1191753084 1545121731 2060162308 2383506168 3090243462 4120324616 6180486924 12360973848 22146744811 44293489622 66440234433 88586979244 132880468866 177173958488 265760937732 531521875464