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2704680096 = 253198916661
BaseRepresentation
bin1010000100110110…
…0010010010100000
320222111022222120220
42201031202102200
521014344230341
61124214403040
7124011254466
oct24115422240
96874288526
102704680096
1111687a3208
12635960480
13341464a31
141b92d0836
1510c6aba66
hexa13624a0

2704680096 has 96 divisors (see below), whose sum is σ = 7557883200. Its totient is φ = 844462080.

The previous prime is 2704680089. The next prime is 2704680119. The reversal of 2704680096 is 6900864072.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154006 + ... + 170666.

It is an arithmetic number, because the mean of its divisors is an integer number (78727950).

Almost surely, 22704680096 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 2704680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778941600).

2704680096 is an abundant number, since it is smaller than the sum of its proper divisors (4853203104).

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

2704680096 is a wasteful number, since it uses less digits than its factorization.

2704680096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16782 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2704680096 is about 52006.5389734791. The cubic root of 2704680096 is about 1393.2807442333.

The spelling of 2704680096 in words is "two billion, seven hundred four million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 152 178 228 267 304 356 456 534 608 712 912 1068 1424 1691 1824 2136 2848 3382 4272 5073 6764 8544 10146 13528 16661 20292 27056 33322 40584 49983 54112 66644 81168 99966 133288 162336 199932 266576 316559 399864 533152 633118 799728 949677 1266236 1482829 1599456 1899354 2532472 2965658 3798708 4448487 5064944 5931316 7597416 8896974 10129888 11862632 15194832 17793948 23725264 28173751 30389664 35587896 47450528 56347502 71175792 84521253 112695004 142351584 169042506 225390008 338085012 450780016 676170024 901560032 1352340048 2704680096