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204102554040 = 2332571165911173
BaseRepresentation
bin1011111000010101110…
…1011101000110111000
3201111211020222000122100
42332011131131012320
511321000223212130
6233432522023400
720513565040650
oct2760535350670
9644736860570
10204102554040
1179617630830
1233681647b60
1316329269a48
149c42ccd360
155498705c60
hex2f8575d1b8

204102554040 has 384 divisors, whose sum is σ = 828342028800. Its totient is φ = 42342773760.

The previous prime is 204102554027. The next prime is 204102554063. The reversal of 204102554040 is 40455201402.

204102554040 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 255 + 404 + 0 = 666.

204102554040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041025540402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204102553995 and 204102554013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18261894 + ... + 18273066.

It is an arithmetic number, because the mean of its divisors is an integer number (2157140700).

Almost surely, 2204102554040 is an apocalyptic number.

204102554040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204102554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414171014400).

204102554040 is an abundant number, since it is smaller than the sum of its proper divisors (624239474760).

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

204102554040 is a wasteful number, since it uses less digits than its factorization.

204102554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11867 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 204102554040 its reverse (40455201402), we get a palindrome (244557755442).

The spelling of 204102554040 in words is "two hundred four billion, one hundred two million, five hundred fifty-four thousand, forty".