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194983996320 = 25325294669157
BaseRepresentation
bin1011010110010111110…
…0111010101110100000
3200122021202210022000100
42311211330322232200
511143311400340240
6225324023422400
720041612423401
oct2654574725640
9618252708010
10194983996320
1175768423413
12319578b4a00
1315505079169
149619c559a8
155112e0ae30
hex2d65f3aba0

194983996320 has 144 divisors (see below), whose sum is σ = 688327272360. Its totient is φ = 50202765312.

The previous prime is 194983996309. The next prime is 194983996321. The reversal of 194983996320 is 23699389491.

194983996320 is a `hidden beast` number, since 1 + 9 + 498 + 39 + 96 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168891409296 + 26092587024 = 410964^2 + 161532^2 .

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

It is not an unprimeable number, because it can be changed into a prime (194983996321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2292819 + ... + 2376338.

Almost surely, 2194983996320 is an apocalyptic number.

194983996320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194983996320 is an abundant number, since it is smaller than the sum of its proper divisors (493343276040).

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

194983996320 is a wasteful number, since it uses less digits than its factorization.

194983996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669207 (or 4669196 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 194983996320 in words is "one hundred ninety-four billion, nine hundred eighty-three million, nine hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 4669157 9338314 14007471 18676628 23345785 28014942 37353256 42022413 46691570 56029884 70037355 74706512 84044826 93383140 112059768 135405553 140074710 149413024 168089652 186766280 210112065 224119536 270811106 280149420 336179304 373532560 406216659 420224130 448239072 541622212 560298840 672358608 677027765 747065120 812433318 840448260 1083244424 1120597680 1218649977 1344717216 1354055530 1624866636 1680896520 2031083295 2166488848 2241195360 2437299954 2708111060 3249733272 3361793040 4062166590 4332977696 4874599908 5416222120 6093249885 6499466544 6723586080 8124333180 9749199816 10832444240 12186499770 12998933088 16248666360 19498399632 21664888480 24372999540 32497332720 38996799264 48745999080 64994665440 97491998160 194983996320