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84630040996320 = 25325232555254861
BaseRepresentation
bin10011001111100001110111…
…100001111110100111100000
3102002122112221001211111210200
4103033201313201332213200
542043034310443340240
6455554300515425200
723553214211205231
oct2317416741764740
9362575831744720
1084630040996320
1124a69442929496
1295a9a515b5200
13382b76a305401
1416c8189c15088
159bb64cc87930
hex4cf87787e9e0

84630040996320 has 144 divisors (see below), whose sum is σ = 301356537404832. Its totient is φ = 21586793057280.

The previous prime is 84630040996313. The next prime is 84630040996321. The reversal of 84630040996320 is 2369904003648.

84630040996320 is a `hidden beast` number, since 8 + 4 + 6 + 300 + 4 + 0 + 9 + 9 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84630040996321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277594311 + ... + 1277660550.

It is an arithmetic number, because the mean of its divisors is an integer number (2092753731978).

Almost surely, 284630040996320 is an apocalyptic number.

84630040996320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84630040996320 is an abundant number, since it is smaller than the sum of its proper divisors (216726496408512).

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

84630040996320 is a wasteful number, since it uses less digits than its factorization.

84630040996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555254905 (or 2555254894 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

Adding to 84630040996320 its reverse (2369904003648), we get a palindrome (86999944999968).

The spelling of 84630040996320 in words is "eighty-four trillion, six hundred thirty billion, forty million, nine hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 2555254861 5110509722 7665764583 10221019444 12776274305 15331529166 20442038888 22997293749 25552548610 30663058332 38328822915 40884077776 45994587498 51105097220 58770861803 61326116664 76657645830 81768155552 91989174996 102210194440 114986468745 117541723606 122652233328 153315291660 176312585409 183978349992 204420388880 229972937490 235083447212 245304466656 293854309015 306630583320 352625170818 367956699984 408840777760 459945874980 470166894424 528937756227 587708618030 613261166640 705250341636 735913399968 881562927045 919891749960 940333788848 1057875512454 1175417236060 1226522333280 1410500683272 1763125854090 1839783499920 1880667577696 2115751024908 2350834472120 2644688781135 2821001366544 3526251708180 3679566999840 4231502049816 4701668944240 5289377562270 5642002733088 7052503416360 8463004099632 9403337888480 10578755124540 14105006832720 16926008199264 21157510249080 28210013665440 42315020498160 84630040996320