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6672978360 = 2332538348397
BaseRepresentation
bin1100011011011110…
…11001000110111000
3122020001101102102200
412031233121012320
5102131240301420
63022053030200
7324235244256
oct61557310670
918201342380
106672978360
1129147a4454
121362925360
13824636a09
144743515d6
15290c6db90
hex18dbd91b8

6672978360 has 96 divisors (see below), whose sum is σ = 21744253440. Its totient is φ = 1774778112.

The previous prime is 6672978341. The next prime is 6672978373. The reversal of 6672978360 is 638792766.

It is a junction number, because it is equal to n+sod(n) for n = 6672978297 and 6672978306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113682 + ... + 162078.

It is an arithmetic number, because the mean of its divisors is an integer number (226502640).

Almost surely, 26672978360 is an apocalyptic number.

6672978360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872126720).

6672978360 is an abundant number, since it is smaller than the sum of its proper divisors (15071275080).

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

6672978360 is a wasteful number, since it uses less digits than its factorization.

6672978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48797 (or 48790 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6672978360 is about 81688.3000190358. The cubic root of 6672978360 is about 1882.6658235011.

The spelling of 6672978360 in words is "six billion, six hundred seventy-two million, nine hundred seventy-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 383 766 1149 1532 1915 2298 3064 3447 3830 4596 5745 6894 7660 9192 11490 13788 15320 17235 22980 27576 34470 45960 48397 68940 96794 137880 145191 193588 241985 290382 387176 435573 483970 580764 725955 871146 967940 1161528 1451910 1742292 1935880 2177865 2903820 3484584 4355730 5807640 8711460 17422920 18536051 37072102 55608153 74144204 92680255 111216306 148288408 166824459 185360510 222432612 278040765 333648918 370721020 444865224 556081530 667297836 741442040 834122295 1112163060 1334595672 1668244590 2224326120 3336489180 6672978360