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6672587740 = 22572131373823
BaseRepresentation
bin1100011011011011…
…11001101111011100
3122020000122120121021
412031231321233130
5102131140301430
63022040413524
7324232026400
oct61555715734
918200576537
106672587740
112914557a25
1213627772a4
1382452ac90
1447428d100
15290be307a
hex18db79bdc

6672587740 has 144 divisors (see below), whose sum is σ = 17686795392. Its totient is φ = 2095801344.

The previous prime is 6672587729. The next prime is 6672587743. The reversal of 6672587740 is 477852766.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672587743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743469 + ... + 1747291.

It is an arithmetic number, because the mean of its divisors is an integer number (122824968).

Almost surely, 26672587740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672587740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843397696).

6672587740 is an abundant number, since it is smaller than the sum of its proper divisors (11014207652).

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

6672587740 is a wasteful number, since it uses less digits than its factorization.

6672587740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The square root of 6672587740 is about 81685.9090663745. The cubic root of 6672587740 is about 1882.6290872176.

The spelling of 6672587740 in words is "six billion, six hundred seventy-two million, five hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 137 140 182 196 245 260 274 364 455 490 548 637 685 910 959 980 1274 1370 1781 1820 1918 2548 2740 3185 3562 3823 3836 4795 6370 6713 7124 7646 8905 9590 12467 12740 13426 15292 17810 19115 19180 24934 26761 26852 33565 35620 38230 49699 49868 53522 62335 67130 76460 87269 99398 107044 124670 133805 134260 174538 187327 198796 248495 249340 267610 347893 349076 374654 436345 496990 523751 535220 695786 749308 872690 936635 993980 1047502 1391572 1739465 1745380 1873270 2095004 2435251 2618755 3478930 3666257 3746540 4870502 5237510 6808763 6957860 7332514 9741004 10475020 12176255 13617526 14665028 18331285 24352510 25663799 27235052 34043815 36662570 47661341 48705020 51327598 68087630 73325140 95322682 102655196 128318995 136175260 190645364 238306705 256637990 333629387 476613410 513275980 667258774 953226820 1334517548 1668146935 3336293870 6672587740