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204002332542 = 23353244129201
BaseRepresentation
bin1011110111111101111…
…1001000111101111110
3201111120021101020121000
42331333133020331332
511320244044120132
6233414541551130
720511240134001
oct2757737107576
9644507336530
10204002332542
1179575aa8948
1233653b754a6
1316311579498
149c33881538
15548ea0a87c
hex2f7f7c8f7e

204002332542 has 64 divisors (see below), whose sum is σ = 462097120320. Its totient is φ = 66688128000.

The previous prime is 204002332537. The next prime is 204002332561. The reversal of 204002332542 is 245233200402.

It is a happy number.

204002332542 is a `hidden beast` number, since 2 + 0 + 400 + 2 + 3 + 3 + 254 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6971542 + ... + 7000742.

It is an arithmetic number, because the mean of its divisors is an integer number (7220267505).

Almost surely, 2204002332542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204002332542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231048560160).

204002332542 is an abundant number, since it is smaller than the sum of its proper divisors (258094787778).

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

204002332542 is a wasteful number, since it uses less digits than its factorization.

204002332542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31706 (or 31700 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 204002332542 its reverse (245233200402), we get a palindrome (449235532944).

The spelling of 204002332542 in words is "two hundred four billion, two million, three hundred thirty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2441 2862 4882 7323 14646 21969 29201 43938 58402 65907 87603 129373 131814 175206 258746 262809 388119 525618 776238 788427 1164357 1547653 1576854 2328714 3095306 3493071 4642959 6986142 9285918 13928877 27857754 41786631 71279641 83573262 142559282 213838923 427677846 641516769 1283033538 1924550307 3777820973 3849100614 7555641946 11333462919 22666925838 34000388757 68000777514 102001166271 204002332542