Search a number
-
+
413083616256 = 2103244822441
BaseRepresentation
bin1100000001011011011…
…00111100010000000000
31110111020111200221101200
412000231230330100000
523231443401210011
6513433515301200
741562411542553
oct6005554742000
91414214627350
10413083616256
1114a207a289a3
1268084a4a800
132cc521383cc
1415dc9a9669a
15ab2a365856
hex602db3c400

413083616256 has 66 divisors (see below), whose sum is σ = 1192770004062. Its totient is φ = 137694535680.

The previous prime is 413083616249. The next prime is 413083616279. The reversal of 413083616256 is 652616380314.

413083616256 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 8 + 3 + 616 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306295833600 + 106787782656 = 553440^2 + 326784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22402005 + ... + 22420436.

Almost surely, 2413083616256 is an apocalyptic number.

It is an amenable number.

413083616256 is an abundant number, since it is smaller than the sum of its proper divisors (779686387806).

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

413083616256 is a wasteful number, since it uses less digits than its factorization.

413083616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44822467 (or 44822446 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 413083616256 in words is "four hundred thirteen billion, eighty-three million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 44822441 89644882 134467323 179289764 268934646 358579528 403401969 537869292 717159056 806803938 1075738584 1434318112 1613607876 2151477168 2868636224 3227215752 4302954336 5737272448 6454431504 8605908672 11474544896 12908863008 17211817344 22949089792 25817726016 34423634688 45898179584 51635452032 68847269376 103270904064 137694538752 206541808128 413083616256