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195994314000 = 24325310888573
BaseRepresentation
bin1011011010001000101…
…0111110010100010000
3200201220011212202022200
42312202022332110100
511202344021022000
6230012154203200
720105631116112
oct2664212762420
9621804782280
10195994314000
1176136754001
1231b9a123500
1315636489684
1496b40cb3b2
155171979500
hex2da22be510

195994314000 has 120 divisors (see below), whose sum is σ = 684542870232. Its totient is φ = 52265145600.

The previous prime is 195994313969. The next prime is 195994314007. The reversal of 195994314000 is 413499591.

195994314000 is a `hidden beast` number, since 1 + 9 + 599 + 43 + 14 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22615347456 + 173378966544 = 150384^2 + 416388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1959943140002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (195994314007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5426287 + ... + 5462286.

Almost surely, 2195994314000 is an apocalyptic number.

195994314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195994314000 is an abundant number, since it is smaller than the sum of its proper divisors (488548556232).

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

195994314000 is a wasteful number, since it uses less digits than its factorization.

195994314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888602 (or 10888583 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 195994314000 in words is "one hundred ninety-five billion, nine hundred ninety-four million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 10888573 21777146 32665719 43554292 54442865 65331438 87108584 97997157 108885730 130662876 163328595 174217168 195994314 217771460 261325752 272214325 326657190 391988628 435542920 489985785 522651504 544428650 653314380 783977256 816642975 871085840 979971570 1088857300 1306628760 1361071625 1567954512 1633285950 1959943140 2177714600 2449928925 2613257520 2722143250 3266571900 3919886280 4083214875 4355429200 4899857850 5444286500 6533143800 7839772560 8166429750 9799715700 10888573000 12249644625 13066287600 16332859500 19599431400 21777146000 24499289250 32665719000 39198862800 48998578500 65331438000 97997157000 195994314000