Search a number
-
+
194983123680 = 25325490927583
BaseRepresentation
bin1011010110010111100…
…1100101101011100000
3200122021201010221222100
42311211321211223200
511143311134424210
6225323553010400
720041602130302
oct2654571455340
9618251127870
10194983123680
1175767987824
1231957553a00
1315504b31bc7
149619aa9972
155112cd75c0
hex2d65e65ae0

194983123680 has 144 divisors (see below), whose sum is σ = 665539580160. Its totient is φ = 51983023104.

The previous prime is 194983123679. The next prime is 194983123693. The reversal of 194983123680 is 86321389491.

194983123680 is a `hidden beast` number, since 19 + 498 + 31 + 2 + 36 + 80 = 666.

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

It is a congruent number.

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, 7055169 + ... + 7082751.

It is an arithmetic number, because the mean of its divisors is an integer number (4621802640).

Almost surely, 2194983123680 is an apocalyptic number.

194983123680 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 194983123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332769790080).

194983123680 is an abundant number, since it is smaller than the sum of its proper divisors (470556456480).

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

194983123680 is a wasteful number, since it uses less digits than its factorization.

194983123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32513 (or 32502 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 194983123680 in words is "one hundred ninety-four billion, nine hundred eighty-three million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4909 9818 14727 19636 24545 27583 29454 39272 44181 49090 55166 58908 73635 78544 82749 88362 98180 110332 117816 137915 147270 157088 165498 176724 196360 220664 220905 235632 248247 275830 294540 330996 353448 392720 413745 441328 441810 471264 496494 551660 589080 661992 706896 785440 827490 882656 883620 992988 1103320 1178160 1241235 1323984 1413792 1654980 1767240 1985976 2206640 2356320 2482470 2647968 3309960 3534480 3971952 4413280 4964940 6619920 7068960 7943904 9929880 13239840 19859760 39719520 135404947 270809894 406214841 541619788 677024735 812429682 1083239576 1218644523 1354049470 1624859364 2031074205 2166479152 2437289046 2708098940 3249718728 4062148410 4332958304 4874578092 5416197880 6093222615 6499437456 8124296820 9749156184 10832395760 12186445230 12998874912 16248593640 19498312368 21664791520 24372890460 32497187280 38996624736 48745780920 64994374560 97491561840 194983123680