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204642144112 = 24722331120271
BaseRepresentation
bin1011111010010110011…
…1110100111101110000
3201120012212022001001211
42332211213310331300
511323101342102422
6234002235205504
720533136344600
oct2764547647560
9646185261054
10204642144112
117987417883a
12337b22a6894
13163b3ca3c03
149c9482cc00
1554cac8e577
hex2fa59f4f70

204642144112 has 60 divisors (see below), whose sum is σ = 463207826016. Its totient is φ = 87327287040.

The previous prime is 204642144107. The next prime is 204642144163. The reversal of 204642144112 is 211441246402.

204642144112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377464 + ... + 742807.

Almost surely, 2204642144112 is an apocalyptic number.

It is an amenable number.

204642144112 is an abundant number, since it is smaller than the sum of its proper divisors (258565681904).

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

204642144112 is a wasteful number, since it uses less digits than its factorization.

204642144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120526 (or 1120513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 204642144112 in words is "two hundred four billion, six hundred forty-two million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 233 392 466 784 932 1631 1864 3262 3728 6524 11417 13048 22834 26096 45668 91336 182672 1120271 2240542 4481084 7841897 8962168 15683794 17924336 31367588 54893279 62735176 109786558 125470352 219573116 261023143 439146232 522046286 878292464 1044092572 1827162001 2088185144 3654324002 4176370288 7308648004 12790134007 14617296008 25580268014 29234592016 51160536028 102321072056 204642144112