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2874660096 = 28371148611
BaseRepresentation
bin1010101101010111…
…1101010100000000
321102100011212022110
42223111331110000
521341403110341
61153125535320
7131144131140
oct25325752400
97370155273
102874660096
111245741750
12682874540
1336a73ac09
141d3ada920
1511c586216
hexab57d500

2874660096 has 144 divisors (see below), whose sum is σ = 9538841088. Its totient is φ = 746649600.

The previous prime is 2874660059. The next prime is 2874660121. The reversal of 2874660096 is 6900664782.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34831 + ... + 83441.

It is an arithmetic number, because the mean of its divisors is an integer number (66241952).

Almost surely, 22874660096 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 2874660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769420544).

2874660096 is an abundant number, since it is smaller than the sum of its proper divisors (6664180992).

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

2874660096 is a wasteful number, since it uses less digits than its factorization.

2874660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48648 (or 48634 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2874660096 is about 53615.8567589850. The cubic root of 2874660096 is about 1421.8774505137.

The spelling of 2874660096 in words is "two billion, eight hundred seventy-four million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 48611 59136 97222 145833 194444 291666 340277 388888 534721 583332 680554 777776 1020831 1069442 1166664 1361108 1555552 1604163 2041662 2138884 2333328 2722216 3111104 3208326 3743047 4083324 4277768 4666656 5444432 6222208 6416652 7486094 8166648 8555536 9333312 10888864 11229141 12444416 12833304 14972188 16333296 17111072 18666624 21777728 22458282 25666608 29944376 32666592 34222144 37333248 43555456 44916564 51333216 59888752 65333184 68444288 87110912 89833128 102666432 119777504 130666368 136888576 179666256 205332864 239555008 261332736 359332512 410665728 479110016 718665024 958220032 1437330048 2874660096