Search a number
-
+
656532242336 = 251910491029383
BaseRepresentation
bin10011000110111000101…
…11101111111110100000
32022202121212020112000102
421203130113233332200
541224034223223321
61221335020241532
765301323661035
oct11433427577640
92282555215012
10656532242336
11233485375a33
12a72a73a02a8
1349babb29889
1423ac236d38c
1512127e31c0b
hex98dc5effa0

656532242336 has 48 divisors (see below), whose sum is σ = 1361875032000. Its totient is φ = 310692192768.

The previous prime is 656532242213. The next prime is 656532242341. The reversal of 656532242336 is 633242235656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123101 + ... + 1152483.

It is an arithmetic number, because the mean of its divisors is an integer number (28372396500).

Almost surely, 2656532242336 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 656532242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680937516000).

656532242336 is an abundant number, since it is smaller than the sum of its proper divisors (705342789664).

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

656532242336 is a wasteful number, since it uses less digits than its factorization.

656532242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030461 (or 1030453 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 47.

The spelling of 656532242336 in words is "six hundred fifty-six billion, five hundred thirty-two million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1049 2098 4196 8392 16784 19931 33568 39862 79724 159448 318896 637792 1029383 2058766 4117532 8235064 16470128 19558277 32940256 39116554 78233108 156466216 312932432 625864864 1079822767 2159645534 4319291068 8638582136 17277164272 20516632573 34554328544 41033265146 82066530292 164133060584 328266121168 656532242336