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199447904160 = 25325314467919
BaseRepresentation
bin1011100111000000000…
…1010111111110100000
3201001210212102022101100
42321300001113332200
511231432130413120
6231343004434400
720260335133101
oct2716001277640
9631725368340
10199447904160
117764916244a
12327a2848a00
1315a66b26a4b
149920a483a8
1552c4c6a490
hex2e70057fa0

199447904160 has 144 divisors (see below), whose sum is σ = 702571484160. Its totient is φ = 51470415360.

The previous prime is 199447904119. The next prime is 199447904171. The reversal of 199447904160 is 61409744991.

199447904160 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 479 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199447904097 and 199447904106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2189320 + ... + 2278599.

It is an arithmetic number, because the mean of its divisors is an integer number (4878968640).

Almost surely, 2199447904160 is an apocalyptic number.

199447904160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199447904160 is an abundant number, since it is smaller than the sum of its proper divisors (503123580000).

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

199447904160 is a wasteful number, since it uses less digits than its factorization.

199447904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467971 (or 4467960 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 199447904160 in words is "one hundred ninety-nine billion, four hundred forty-seven million, nine hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 4467919 8935838 13403757 17871676 22339595 26807514 35743352 40211271 44679190 53615028 67018785 71486704 80422542 89358380 107230056 134037570 138505489 142973408 160845084 178716760 201056355 214460112 268075140 277010978 321690168 357433520 402112710 415516467 428920224 536150280 554021956 643380336 692527445 714867040 804225420 831032934 1072300560 1108043912 1246549401 1286760672 1385054890 1608450840 1662065868 2077582335 2144601120 2216087824 2493098802 2770109780 3216901680 3324131736 4155164670 4432175648 4986197604 5540219560 6232747005 6433803360 6648263472 8310329340 9972395208 11080439120 12465494010 13296526944 16620658680 19944790416 22160878240 24930988020 33241317360 39889580832 49861976040 66482634720 99723952080 199447904160