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1290574000668 = 2233731033279121
BaseRepresentation
bin10010110001111100001…
…101000111001000011100
311120101012022200001222210
4102301330031013020130
5132121043421010133
62424514223440420
7162145425001641
oct22617415071034
94511168601883
101290574000668
114583694183a7
1218a156756110
1394915301844
144666d761dc8
152388664b763
hex12c7c34721c

1290574000668 has 48 divisors (see below), whose sum is σ = 3022346413856. Its totient is φ = 428621137920.

The previous prime is 1290574000643. The next prime is 1290574000693. The reversal of 1290574000668 is 8660004750921.

It is an interprime number because it is at equal distance from previous prime (1290574000643) and next prime (1290574000693).

It is a congruent number.

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, 4484148 + ... + 4763268.

Almost surely, 21290574000668 is an apocalyptic number.

It is an amenable number.

1290574000668 is an abundant number, since it is smaller than the sum of its proper divisors (1731772413188).

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

1290574000668 is a wasteful number, since it uses less digits than its factorization.

1290574000668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280534 (or 280532 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1290574000668 in words is "one trillion, two hundred ninety billion, five hundred seventy-four million, six hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 373 746 1033 1119 1492 2066 2238 3099 4132 4476 6198 12396 279121 385309 558242 770618 837363 1116484 1155927 1541236 1674726 2311854 3349452 4623708 104112133 208224266 288331993 312336399 416448532 576663986 624672798 864995979 1153327972 1249345596 1729991958 3459983916 107547833389 215095666778 322643500167 430191333556 645287000334 1290574000668