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199965797020 = 225116117898329
BaseRepresentation
bin1011101000111011100…
…0111110101010011100
3201010010221220222211101
42322032320332222130
511234012221001040
6231510225002444
720306224141603
oct2721670765234
9633127828741
10199965797020
117789452aa80
1232908183424
1315b1a205122
14996d73aa3a
15530546a09a
hex2e8ee3ea9c

199965797020 has 96 divisors (see below), whose sum is σ = 465929553600. Its totient is φ = 71474227200.

The previous prime is 199965796981. The next prime is 199965797033. The reversal of 199965797020 is 20797569991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24004216 + ... + 24012544.

It is an arithmetic number, because the mean of its divisors is an integer number (4853432850).

Almost surely, 2199965797020 is an apocalyptic number.

199965797020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199965797020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232964776800).

199965797020 is an abundant number, since it is smaller than the sum of its proper divisors (265963756580).

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

199965797020 is a wasteful number, since it uses less digits than its factorization.

199965797020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 64.

The spelling of 199965797020 in words is "one hundred ninety-nine billion, nine hundred sixty-five million, seven hundred ninety-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 1789 2684 3355 3578 6710 7156 8329 8945 13420 16658 17890 19679 33316 35780 39358 41645 78716 83290 91619 98395 109129 166580 183238 196790 218258 366476 393580 436516 458095 508069 545645 916190 1016138 1091290 1200419 1832380 2032276 2182580 2400838 2540345 4801676 5080690 5588759 6002095 10161380 11177518 12004190 14900581 22355036 24008380 27943795 29801162 55887590 59602324 74502905 111775180 149005810 163906391 298011620 327812782 655625564 819531955 908935441 1639063910 1817870882 3278127820 3635741764 4544677205 9089354410 9998289851 18178708820 19996579702 39993159404 49991449255 99982898510 199965797020