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668137500459 = 3211131134594189
BaseRepresentation
bin10011011100100000001…
…10010010111100101011
32100212120122120201022100
421232100012102330223
541421321200003314
61230534345224443
766162033022602
oct11562006227453
92325518521270
10668137500459
112383a0223150
12a95a5a92123
134b00b271210
14244a3794a39
15125a6bcbc09
hex9b90192f2b

668137500459 has 48 divisors (see below), whose sum is σ = 1143843049440. Its totient is φ = 370475320320.

The previous prime is 668137500421. The next prime is 668137500463. The reversal of 668137500459 is 954005731866.

668137500459 is a `hidden beast` number, since 6 + 6 + 8 + 137 + 50 + 0 + 459 = 666.

It is not a de Polignac number, because 668137500459 - 28 = 668137500203 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 (668137500409) 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, 2151664 + ... + 2442525.

It is an arithmetic number, because the mean of its divisors is an integer number (23830063530).

Almost surely, 2668137500459 is an apocalyptic number.

668137500459 is a deficient number, since it is larger than the sum of its proper divisors (475705548981).

668137500459 is a wasteful number, since it uses less digits than its factorization.

668137500459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594332 (or 4594329 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 668137500459 in words is "six hundred sixty-eight billion, one hundred thirty-seven million, five hundred thousand, four hundred fifty-nine".

Divisors: 1 3 9 11 13 33 39 99 113 117 143 339 429 1017 1243 1287 1469 3729 4407 11187 13221 16159 48477 145431 4594189 13782567 41347701 50536079 59724457 151608237 179173371 454824711 519143357 537520113 656969027 1557430071 1970907081 4672290213 5710576927 5912721243 6748863641 17131730781 20246590923 51395192343 60739772769 74237500051 222712500153 668137500459