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6674074006680 = 2332587132127751
BaseRepresentation
bin110000100011110110111…
…0011110111010010011000
3212122000221200201000210100
41201013231303313102120
51333322000421203210
622110005520215400
71256120530014303
oct141075563672230
925560850630710
106674074006680
112143505869593
128b9591a6a560
13395493498792
14191053b85b3a
15b891be095c0
hex611edcf7498

6674074006680 has 96 divisors (see below), whose sum is σ = 21693240185760. Its totient is φ = 1779547968000.

The previous prime is 6674074006679. The next prime is 6674074006687. The reversal of 6674074006680 is 866004704766.

It is a happy number.

6674074006680 is a `hidden beast` number, since 6 + 67 + 40 + 7 + 400 + 66 + 80 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674074006687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2072805 + ... + 4200555.

It is an arithmetic number, because the mean of its divisors is an integer number (225971251935).

Almost surely, 26674074006680 is an apocalyptic number.

6674074006680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6674074006680 is an abundant number, since it is smaller than the sum of its proper divisors (15019166179080).

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

6674074006680 is a wasteful number, since it uses less digits than its factorization.

6674074006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136481 (or 2136474 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 6674074006680 in words is "six trillion, six hundred seventy-four billion, seventy-four million, six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8713 17426 26139 34852 43565 52278 69704 78417 87130 104556 130695 156834 174260 209112 261390 313668 348520 392085 522780 627336 784170 1045560 1568340 2127751 3136680 4255502 6383253 8511004 10638755 12766506 17022008 19149759 21277510 25533012 31916265 38299518 42555020 51066024 63832530 76599036 85110040 95748795 127665060 153198072 191497590 255330120 382995180 765990360 18539094463 37078188926 55617283389 74156377852 92695472315 111234566778 148312755704 166851850167 185390944630 222469133556 278086416945 333703700334 370781889260 444938267112 556172833890 667407400668 741563778520 834259250835 1112345667780 1334814801336 1668518501670 2224691335560 3337037003340 6674074006680