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204424088264 = 231111359334667
BaseRepresentation
bin1011111001100010100…
…0000000101011001000
3201112122122222122200022
42332120220000223020
511322130031311024
6233524445400012
720524551036344
oct2763050005310
9645578878608
10204424088264
11797720831a0
1233751269008
131637aa67396
149c738aa624
1554b6a6a35e
hex2f98a00ac8

204424088264 has 64 divisors (see below), whose sum is σ = 422564091840. Its totient is φ = 91939778560.

The previous prime is 204424088261. The next prime is 204424088311. The reversal of 204424088264 is 462880424402.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (204424088261) 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, 5879459 + ... + 5914125.

It is an arithmetic number, because the mean of its divisors is an integer number (6602563935).

Almost surely, 2204424088264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204424088264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211282045920).

204424088264 is an abundant number, since it is smaller than the sum of its proper divisors (218140003576).

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

204424088264 is a wasteful number, since it uses less digits than its factorization.

204424088264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35390 (or 35386 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 44.

The spelling of 204424088264 in words is "two hundred four billion, four hundred twenty-four million, eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 593 904 1186 1243 2372 2486 4744 4972 6523 9944 13046 26092 34667 52184 67009 69334 134018 138668 268036 277336 381337 536072 737099 762674 1474198 1525348 2948396 3050696 3917371 5896792 7834742 15669484 20557531 31338968 41115062 43091081 82230124 86182162 164460248 172364324 226132841 344728648 452265682 904531364 1809062728 2323001003 4646002006 9292004012 18584008024 25553011033 51106022066 102212044132 204424088264