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661550656 = 261323181191
BaseRepresentation
bin100111011011100…
…111011001000000
31201002211020220011
4213123213121000
52323324110111
6145351154304
722252042054
oct4733473100
91632736804
10661550656
1130a478888
12165675994
13a70995c0
1463c09c64
153d12a021
hex276e7640

661550656 has 112 divisors (see below), whose sum is σ = 1491130368. Its totient is φ = 288921600.

The previous prime is 661550653. The next prime is 661550671. The reversal of 661550656 is 656055166.

661550656 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 (661550651) 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, 3463521 + ... + 3463711.

It is an arithmetic number, because the mean of its divisors is an integer number (13313664).

Almost surely, 2661550656 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 661550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

661550656 is an abundant number, since it is smaller than the sum of its proper divisors (829579712).

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

661550656 is a wasteful number, since it uses less digits than its factorization.

661550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 661550656 is about 25720.6270530094. The cubic root of 661550656 is about 871.3401005742.

The spelling of 661550656 in words is "six hundred sixty-one million, five hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 181 184 191 208 299 362 368 382 416 598 724 736 764 832 1196 1448 1472 1528 2353 2392 2483 2896 3056 4163 4393 4706 4784 4966 5792 6112 8326 8786 9412 9568 9932 11584 12224 16652 17572 18824 19136 19864 33304 34571 35144 37648 39728 54119 57109 66608 69142 70288 75296 79456 108238 114218 133216 138284 140576 150592 158912 216476 228436 266432 276568 281152 432952 449423 456872 553136 795133 865904 898846 913744 1106272 1590266 1731808 1797692 1827488 2212544 3180532 3463616 3595384 3654976 6361064 7190768 10336729 12722128 14381536 20673458 25444256 28763072 41346916 50888512 82693832 165387664 330775328 661550656