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3363006461112 = 233341438831239
BaseRepresentation
bin110000111100000010110…
…011100011010010111000
3102220111111200222011021000
4300330002303203102320
5420044414123223422
611052535511445000
7464653302160044
oct60740263432270
912814450864230
103363006461112
111087274523841
12463934086760
131b518cc2305c
14b8aadcd7024
155c72d573cac
hex30f02ce34b8

3363006461112 has 128 divisors (see below), whose sum is σ = 9792078912000. Its totient is φ = 1068226548480.

The previous prime is 3363006461057. The next prime is 3363006461119. The reversal of 3363006461112 is 2111646003633.

3363006461112 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 0 + 0 + 646 + 1 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×33630064611122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363006461119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4034812 + ... + 4796427.

It is an arithmetic number, because the mean of its divisors is an integer number (76500616500).

Almost surely, 23363006461112 is an apocalyptic number.

It is an amenable number.

3363006461112 is an abundant number, since it is smaller than the sum of its proper divisors (6429072450888).

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

3363006461112 is a wasteful number, since it uses less digits than its factorization.

3363006461112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831338 (or 8831328 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3363006461112 in words is "three trillion, three hundred sixty-three billion, six million, four hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 43 54 72 82 86 108 123 129 164 172 216 246 258 328 344 369 387 492 516 738 774 984 1032 1107 1161 1476 1548 1763 2214 2322 2952 3096 3526 4428 4644 5289 7052 8856 9288 10578 14104 15867 21156 31734 42312 47601 63468 95202 126936 190404 380808 8831239 17662478 26493717 35324956 52987434 70649912 79481151 105974868 158962302 211949736 238443453 317924604 362080799 379743277 476886906 635849208 724161598 759486554 953773812 1086242397 1139229831 1448323196 1518973108 1907547624 2172484794 2278459662 2896646392 3037946216 3258727191 3417689493 4344969588 4556919324 6517454382 6835378986 8689939176 9113838648 9776181573 10253068479 13034908764 13670757972 15569474357 19552363146 20506136958 26069817528 27341515944 31138948714 39104726292 41012273916 46708423071 62277897428 78209452584 82024547832 93416846142 124555794856 140125269213 186833692284 280250538426 373667384568 420375807639 560501076852 840751615278 1121002153704 1681503230556 3363006461112