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668241257841 = 324719350316273
BaseRepresentation
bin10011011100101100100…
…10000110010101110001
32100212211212211010200100
421232112102012111301
541422024230222331
61230552533143013
766164432654343
oct11562622062561
92325755733610
10668241257841
11238443850653
12a961478aa69
134b0268cc011
14244b3483293
15125b0d74ae6
hex9b96486571

668241257841 has 48 divisors (see below), whose sum is σ = 992912933376. Its totient is φ = 432867483648.

The previous prime is 668241257833. The next prime is 668241257843. The reversal of 668241257841 is 148752142866.

668241257841 is a `hidden beast` number, since 6 + 6 + 8 + 24 + 1 + 2 + 578 + 41 = 666.

It is not a de Polignac number, because 668241257841 - 23 = 668241257833 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (668241257843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41056281 + ... + 41072553.

It is an arithmetic number, because the mean of its divisors is an integer number (20685686112).

Almost surely, 2668241257841 is an apocalyptic number.

It is an amenable number.

668241257841 is a deficient number, since it is larger than the sum of its proper divisors (324671675535).

668241257841 is a wasteful number, since it uses less digits than its factorization.

668241257841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17022 (or 17019 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 668241257841 in words is "six hundred sixty-eight billion, two hundred forty-one million, two hundred fifty-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 47 141 193 423 503 579 1509 1737 4527 9071 16273 23641 27213 48819 70923 81639 97079 146457 212769 291237 764831 873711 2294493 3140689 4562713 6883479 8185319 9422067 13688139 24555957 28266201 41064417 73667871 147612383 384709993 442837149 1154129979 1328511447 1579766567 3462389937 4739299701 14217899103 74249028649 222747085947 668241257841