Search a number
-
+
204191688120 = 23357243085343
BaseRepresentation
bin1011111000101011000…
…1011110010110111000
3201112001110200111121120
42332022301132112320
511321141033004440
6233445424305240
720516026466040
oct2761261362670
9645043614546
10204191688120
1179662980562
12336a7472220
13163418777c4
149c50a92720
1554a1460dd0
hex2f8ac5e5b8

204191688120 has 64 divisors (see below), whose sum is σ = 700085790720. Its totient is φ = 46672385664.

The previous prime is 204191688091. The next prime is 204191688121. The reversal of 204191688120 is 21886191402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204191688121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121541832 + ... + 121543511.

It is an arithmetic number, because the mean of its divisors is an integer number (10938840480).

Almost surely, 2204191688120 is an apocalyptic number.

204191688120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204191688120 is an abundant number, since it is smaller than the sum of its proper divisors (495894102600).

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

204191688120 is a wasteful number, since it uses less digits than its factorization.

204191688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243085364 (or 243085360 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 204191688120 in words is "two hundred four billion, one hundred ninety-one million, six hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 243085343 486170686 729256029 972341372 1215426715 1458512058 1701597401 1944682744 2430853430 2917024116 3403194802 3646280145 4861706860 5104792203 5834048232 6806389604 7292560290 8507987005 9723413720 10209584406 13612779208 14585120580 17015974010 20419168812 25523961015 29170241160 34031948020 40838337624 51047922030 68063896040 102095844060 204191688120