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204460426660 = 225729101498611
BaseRepresentation
bin1011111001101011001…
…0101000010110100100
3201112202012100211120211
42332122302220112210
511322213332123120
6233532224305204
720525501644240
oct2763262502644
9645665324524
10204460426660
1179790642826
1233761472204
131638544b3a9
149c78649420
1554b9d4725a
hex2f9aca85a4

204460426660 has 96 divisors (see below), whose sum is σ = 512652913920. Its totient is φ = 67013184000.

The previous prime is 204460426637. The next prime is 204460426661. The reversal of 204460426660 is 66624064402.

204460426660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204460426661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160755 + ... + 659365.

It is an arithmetic number, because the mean of its divisors is an integer number (5340134520).

Almost surely, 2204460426660 is an apocalyptic number.

204460426660 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 204460426660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256326456960).

204460426660 is an abundant number, since it is smaller than the sum of its proper divisors (308192487260).

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

204460426660 is a wasteful number, since it uses less digits than its factorization.

204460426660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498757 (or 498755 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 204460426660 in words is "two hundred four billion, four hundred sixty million, four hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 101 116 140 145 202 203 290 404 406 505 580 707 812 1010 1015 1414 2020 2030 2828 2929 3535 4060 5858 7070 11716 14140 14645 20503 29290 41006 58580 82012 102515 205030 410060 498611 997222 1994444 2493055 3490277 4986110 6980554 9972220 13961108 14459719 17451385 28919438 34902770 50359711 57838876 69805540 72298595 100719422 101218033 144597190 201438844 202436066 251798555 289194380 352517977 404872132 503597110 506090165 705035954 1007194220 1012180330 1410071908 1460431619 1762589885 2024360660 2920863238 3525179770 5841726476 7050359540 7302158095 10223021333 14604316190 20446042666 29208632380 40892085332 51115106665 102230213330 204460426660