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2986252668 = 223273594099
BaseRepresentation
bin1011000111111110…
…1001100101111100
321201010011100112200
42301333221211330
522103440041133
61212153431500
7134000505000
oct26177514574
97633140480
102986252668
1112a2730913
126b410b590
133878b0119
14204868700
1512727a913
hexb1fe997c

2986252668 has 144 divisors (see below), whose sum is σ = 8954400000. Its totient is φ = 838549152.

The previous prime is 2986252663. The next prime is 2986252669. The reversal of 2986252668 is 8662526892.

2986252668 is a `hidden beast` number, since 2 + 9 + 8 + 625 + 2 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986252663) 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, 726483 + ... + 730581.

Almost surely, 22986252668 is an apocalyptic number.

2986252668 is a gapful number since it is divisible by the number (28) 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 2986252668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477200000).

2986252668 is an abundant number, since it is smaller than the sum of its proper divisors (5968147332).

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

2986252668 is a wasteful number, since it uses less digits than its factorization.

2986252668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4170 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 2986252668 is about 54646.6162538908. The cubic root of 2986252668 is about 1440.0431873622.

The spelling of 2986252668 in words is "two billion, nine hundred eighty-six million, two hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 343 354 413 441 531 588 686 708 826 882 1029 1062 1239 1372 1652 1764 2058 2124 2478 2891 3087 3717 4099 4116 4956 5782 6174 7434 8198 8673 11564 12297 12348 14868 16396 17346 20237 24594 26019 28693 34692 36891 40474 49188 52038 57386 60711 73782 80948 86079 104076 114772 121422 147564 172158 182133 200851 241841 242844 258237 344316 364266 401702 483682 516474 602553 725523 728532 803404 967364 1032948 1205106 1405957 1451046 1692887 1807659 2176569 2410212 2811914 2902092 3385774 3615318 4217871 4353138 5078661 5623828 6771548 7230636 8435742 8706276 10157322 11850209 12653613 15235983 16871484 20314644 23700418 25307226 30471966 35550627 47400836 50614452 60943932 71101254 82951463 106651881 142202508 165902926 213303762 248854389 331805852 426607524 497708778 746563167 995417556 1493126334 2986252668