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2782680012 = 2232725926737
BaseRepresentation
bin1010010111011100…
…0101001111001100
321011221002210100200
42211313011033030
521144331230022
61140042253500
7125646250500
oct24567051714
97157083320
102782680012
1111a8828752
12657ab7290
13354674928
141c57d6300
15114467bac
hexa5dc53cc

2782680012 has 108 divisors (see below), whose sum is σ = 8321400360. Its totient is φ = 781546752.

The previous prime is 2782679981. The next prime is 2782680023. The reversal of 2782680012 is 2100862872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90708 + ... + 117444.

Almost surely, 22782680012 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 2782680012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160700180).

2782680012 is an abundant number, since it is smaller than the sum of its proper divisors (5538720348).

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

2782680012 is a wasteful number, since it uses less digits than its factorization.

2782680012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26820 (or 26808 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2782680012 is about 52751.1138460602. The cubic root of 2782680012 is about 1406.5475637449.

The spelling of 2782680012 in words is "two billion, seven hundred eighty-two million, six hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 26019 26737 34692 52038 53474 80211 104076 106948 160422 187159 240633 320844 374318 481266 561477 748636 962532 1122954 1310113 1577483 1684431 2245908 2620226 3154966 3368862 3930339 4732449 5240452 6309932 6737724 7860678 9464898 11042381 11791017 14197347 15721356 18929796 22084762 23582034 28394694 33127143 44169524 47164068 56789388 66254286 77296667 99381429 132508572 154593334 198762858 231890001 309186668 397525716 463780002 695670003 927560004 1391340006 2782680012