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2679875104 = 251731367433
BaseRepresentation
bin1001111110111011…
…1010011000100000
320220202122202112111
42133232322120200
520442022000404
61121531005104
7123260363644
oct23756723040
96822582474
102679875104
1111557a0915
12629599794
1333928b51a
141b5cb4c24
1510a40c104
hex9fbba620

2679875104 has 96 divisors (see below), whose sum is σ = 5795629056. Its totient is φ = 1214300160.

The previous prime is 2679875069. The next prime is 2679875141. The reversal of 2679875104 is 4015789762.

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 15 ways as a sum of consecutive naturals, for example, 6188872 + ... + 6189304.

It is an arithmetic number, because the mean of its divisors is an integer number (60371136).

Almost surely, 22679875104 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 2679875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897814528).

2679875104 is an abundant number, since it is smaller than the sum of its proper divisors (3115753952).

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

2679875104 is a wasteful number, since it uses less digits than its factorization.

2679875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 2679875104 is about 51767.5101197653. The cubic root of 2679875104 is about 1389.0083336246.

The spelling of 2679875104 in words is "two billion, six hundred seventy-nine million, eight hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 367 433 496 527 544 734 866 992 1054 1468 1732 2108 2936 3464 4216 5872 6239 6928 7361 8432 11377 11744 12478 13423 13856 14722 16864 22754 24956 26846 29444 45508 49912 53692 58888 91016 99824 107384 117776 158911 182032 193409 199648 214768 228191 235552 317822 364064 386818 429536 456382 635644 773636 912764 1271288 1547272 1825528 2542576 2701487 3094544 3651056 4926241 5085152 5402974 6189088 7302112 9852482 10805948 19704964 21611896 39409928 43223792 78819856 83746097 86447584 157639712 167492194 334984388 669968776 1339937552 2679875104