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561554664 = 233116313371
BaseRepresentation
bin100001011110001…
…010010011101000
31110010122221011220
4201132022103220
52122224222124
6131420022040
716626064416
oct4136122350
91403587156
10561554664
11268a8a370
12138091920
138c457888
145481a2b6
1534476879
hex2178a4e8

561554664 has 64 divisors (see below), whose sum is σ = 1534394880. Its totient is φ = 169848000.

The previous prime is 561554657. The next prime is 561554681. The reversal of 561554664 is 466455165.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164899 + ... + 168269.

It is an arithmetic number, because the mean of its divisors is an integer number (23974920).

Almost surely, 2561554664 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 561554664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767197440).

561554664 is an abundant number, since it is smaller than the sum of its proper divisors (972840216).

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

561554664 is a wasteful number, since it uses less digits than its factorization.

561554664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 561554664 is about 23697.1446381204. The cubic root of 561554664 is about 825.0191187489.

The spelling of 561554664 in words is "five hundred sixty-one million, five hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 631 1262 1893 2524 3371 3786 5048 6742 6941 7572 10113 13484 13882 15144 20226 20823 26968 27764 37081 40452 41646 55528 74162 80904 83292 111243 148324 166584 222486 296648 444972 889944 2127101 4254202 6381303 8508404 12762606 17016808 23398111 25525212 46796222 51050424 70194333 93592444 140388666 187184888 280777332 561554664