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199682724880 = 245171131299341
BaseRepresentation
bin1011100111111000000…
…1001001010000010000
3201002102020021102212001
42321332001021100100
511232422234144010
6231422153443344
720266216104442
oct2717601112020
9632366242761
10199682724880
1177759768761
1232849410554
1315aa3683312
149943cd2492
1552da6a1c3a
hex2e7e049410

199682724880 has 80 divisors (see below), whose sum is σ = 495922459824. Its totient is φ = 74509352960.

The previous prime is 199682724847. The next prime is 199682724893. The reversal of 199682724880 is 88427286991.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 60081853456 + 139600871424 = 245116^2 + 373632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 495991 + ... + 803350.

Almost surely, 2199682724880 is an apocalyptic number.

199682724880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199682724880 is an abundant number, since it is smaller than the sum of its proper divisors (296239734944).

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

199682724880 is a wasteful number, since it uses less digits than its factorization.

199682724880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299484 (or 1299478 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 64.

The spelling of 199682724880 in words is "one hundred ninety-nine billion, six hundred eighty-two million, seven hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 113 136 170 226 272 340 452 565 680 904 1130 1360 1808 1921 2260 3842 4520 7684 9040 9605 15368 19210 30736 38420 76840 153680 1299341 2598682 5197364 6496705 10394728 12993410 20789456 22088797 25986820 44177594 51973640 88355188 103947280 110443985 146825533 176710376 220887970 293651066 353420752 441775940 587302132 734127665 883551880 1174604264 1468255330 1767103760 2349208528 2496034061 2936510660 4992068122 5873021320 9984136244 11746042640 12480170305 19968272488 24960340610 39936544976 49920681220 99841362440 199682724880