Search a number
-
+
4455662392336 = 244126122112
BaseRepresentation
bin100000011010110101000…
…1011001001010000010000
3120202221211202212120120111
41000311222023021100100
51041000144033023321
613250523020251104
7636624316303261
oct100655213112020
916687752776514
104455662392336
1114686aa297201
125bb6543a0a94
13264223337aac
14115925c7c968
157ad7e3e45e1
hex40d6a2c9410

4455662392336 has 135 divisors (see below), whose sum is σ = 9038811666807. Its totient is φ = 2127730752000.

The previous prime is 4455662392283. The next prime is 4455662392339. The reversal of 4455662392336 is 6332932665544.

The square root of 4455662392336 is 2110844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3771534897936 + 684127494400 = 1942044^2 + 827120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4455662392339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21116883271 + ... + 21116883481.

Almost surely, 24455662392336 is an apocalyptic number.

4455662392336 is the 2110844-th square number.

It is an amenable number.

4455662392336 is an abundant number, since it is smaller than the sum of its proper divisors (4583149274471).

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

4455662392336 is an frugal number, since it uses more digits than its factorization.

4455662392336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 58.

The spelling of 4455662392336 in words is "four trillion, four hundred fifty-five billion, six hundred sixty-two million, three hundred ninety-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 41 61 82 122 164 211 244 328 422 488 656 844 976 1681 1688 2501 3362 3376 3721 5002 6724 7442 8651 10004 12871 13448 14884 17302 20008 25742 26896 29768 34604 40016 44521 51484 59536 69208 89042 102541 102968 138416 152561 178084 205082 205936 305122 354691 356168 410164 527711 610244 709382 712336 785131 820328 1055422 1220488 1418764 1570262 1640656 1825361 2110844 2440976 2715781 2837528 3140524 3650722 4221688 5431562 5675056 6255001 6281048 7301444 8443376 10863124 12510002 12562096 14602888 21636151 21726248 25020004 29205776 32190371 43272302 43452496 50040008 64380742 74839801 86544604 100080016 111347021 128761484 149679602 165662641 173089208 222694042 257522968 299359204 331325282 346178416 445388084 515045936 598718408 662650564 890776168 1197436816 1319805211 1325301128 1781552336 2639610422 2650602256 4565227861 5279220844 6792168281 9130455722 10558441688 13584336562 18260911444 21116883376 27168673124 36521822888 54337346248 73043645776 108674692496 278478899521 556957799042 1113915598084 2227831196168 4455662392336