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189953520600 = 233522910916869
BaseRepresentation
bin1011000011101000011…
…1001011001111011000
3200011022012001122121210
42300322013023033120
511103011100124400
6223132523103120
716503140166414
oct2607207131730
9604265048553
10189953520600
11736168a0568
1230993071aa0
1314bb2b09bcc
14929daddd44
154e1b484950
hex2c3a1cb3d8

189953520600 has 96 divisors (see below), whose sum is σ = 609161346000. Its totient is φ = 48907568640.

The previous prime is 189953520587. The next prime is 189953520637. The reversal of 189953520600 is 6025359981.

It is a happy number.

189953520600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189953520600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5441035 + ... + 5475834.

Almost surely, 2189953520600 is an apocalyptic number.

189953520600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189953520600 is an abundant number, since it is smaller than the sum of its proper divisors (419207825400).

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

189953520600 is a wasteful number, since it uses less digits than its factorization.

189953520600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916917 (or 10916908 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 189953520600 in words is "one hundred eighty-nine billion, nine hundred fifty-three million, five hundred twenty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 10916869 21833738 32750607 43667476 54584345 65501214 87334952 109168690 131002428 163753035 218337380 262004856 272921725 316589201 327506070 436674760 545843450 633178402 655012140 818765175 949767603 1091686900 1266356804 1310024280 1582946005 1637530350 1899535206 2183373800 2532713608 3165892010 3275060700 3799070412 4748838015 6331784020 6550121400 7598140824 7914730025 9497676030 12663568040 15829460050 18995352060 23744190075 31658920100 37990704120 47488380150 63317840200 94976760300 189953520600