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199488710208 = 26311391110093
BaseRepresentation
bin1011100111001001110…
…1000010011001000000
3201001220201012110202110
42321302131002121000
511232023102211313
6231351023215320
720261342026134
oct2716235023100
9631821173673
10199488710208
117766a1a3657
12327b4447540
1315a72413438
14992622b3c4
1552c862aec3
hex2e72742640

199488710208 has 112 divisors (see below), whose sum is σ = 533122119936. Its totient is φ = 65828904960.

The previous prime is 199488710191. The next prime is 199488710227. The reversal of 199488710208 is 802017884991.

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, 19760010 + ... + 19770102.

It is an arithmetic number, because the mean of its divisors is an integer number (4760018928).

Almost surely, 2199488710208 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 199488710208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266561059968).

199488710208 is an abundant number, since it is smaller than the sum of its proper divisors (333633409728).

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

199488710208 is a wasteful number, since it uses less digits than its factorization.

199488710208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 199488710208 in words is "one hundred ninety-nine billion, four hundred eighty-eight million, seven hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 911 1356 1808 1822 2712 2733 3616 3644 5424 5466 7232 7288 10093 10848 10932 14576 20186 21696 21864 29152 30279 40372 43728 58304 60558 80744 87456 102943 121116 161488 174912 205886 242232 308829 322976 411772 484464 617658 645952 823544 968928 1140509 1235316 1647088 1937856 2281018 2470632 3294176 3421527 4562036 4941264 6588352 6843054 9124072 9194723 9882528 13686108 18248144 18389446 19765056 27372216 27584169 36496288 36778892 54744432 55168338 72992576 73557784 109488864 110336676 147115568 218977728 220673352 294231136 441346704 588462272 882693408 1039003699 1765386816 2078007398 3117011097 4156014796 6234022194 8312029592 12468044388 16624059184 24936088776 33248118368 49872177552 66496236736 99744355104 199488710208