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590096040872 = 231317333764729
BaseRepresentation
bin10001001011001000111…
…01110000001110101000
32002102010210210210200012
420211210131300032220
534132004041301442
61131030354031052
760430062405422
oct10454435601650
92072123723605
10590096040872
11208292916508
1296445b78488
1343851b28770
14207bcba1812
151053a631582
hex89647703a8

590096040872 has 32 divisors (see below), whose sum is σ = 1261630679400. Its totient is φ = 256331311104.

The previous prime is 590096040851. The next prime is 590096040881. The reversal of 590096040872 is 278040690095.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331253198116 + 258842842756 = 575546^2 + 508766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 590096040872.

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 7 ways as a sum of consecutive naturals, for example, 166880597 + ... + 166884132.

Almost surely, 2590096040872 is an apocalyptic number.

590096040872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

590096040872 is an abundant number, since it is smaller than the sum of its proper divisors (671534638528).

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

590096040872 is a wasteful number, since it uses less digits than its factorization.

590096040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333764765 (or 333764761 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 590096040872 in words is "five hundred ninety billion, ninety-six million, forty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 333764729 667529458 1335058916 2670117832 4338941477 5674000393 8677882954 11348000786 17355765908 22696001572 34711531816 45392003144 73762005109 147524010218 295048020436 590096040872