Search a number
-
+
3395802322656 = 253247250871921
BaseRepresentation
bin110001011010100101100…
…101110101011011100000
3110000122011022011112122200
4301122211211311123200
5421114100343311111
611120002100533200
7500224101326532
oct61324545653340
913018138145580
103395802322656
11109a173978a47
1246a1673b1200
131b82b85c67a3
14ba5017a9852
155d4ec86b256
hex316a59756e0

3395802322656 has 72 divisors (see below), whose sum is σ = 9862276997664. Its totient is φ = 1107850398720.

The previous prime is 3395802322637. The next prime is 3395802322697. The reversal of 3395802322656 is 6562232085933.

3395802322656 is a `hidden beast` number, since 3 + 3 + 9 + 580 + 2 + 3 + 2 + 2 + 6 + 56 = 666.

3395802322656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125422425 + ... + 125449496.

It is an arithmetic number, because the mean of its divisors is an integer number (136976069412).

Almost surely, 23395802322656 is an apocalyptic number.

3395802322656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3395802322656 is an abundant number, since it is smaller than the sum of its proper divisors (6466474675008).

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

3395802322656 is a wasteful number, since it uses less digits than its factorization.

3395802322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250871984 (or 250871973 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3395802322656 in words is "three trillion, three hundred ninety-five billion, eight hundred two million, three hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 250871921 501743842 752615763 1003487684 1505231526 2006975368 2257847289 3010463052 4013950736 4515694578 6020926104 8027901472 9031389156 11790980287 12041852208 18062778312 23581960574 24083704416 35372940861 36125556624 47163921148 70745881722 72251113248 94327842296 106118822583 141491763444 188655684592 212237645166 282983526888 377311369184 424475290332 565967053776 848950580664 1131934107552 1697901161328 3395802322656