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9999022638420 = 223251722314653159
BaseRepresentation
bin1001000110000001010000…
…1100010100010101010100
31022101220020002011010210100
42101200110030110111110
52302310444243412140
633133253152454100
72051256050041524
oct221402414242524
938356202133710
109999022638420
11320561a672882
121155a6454a330
13576b9981666a
14267d533d5684
1512516e234530
hex91814314554

9999022638420 has 144 divisors (see below), whose sum is σ = 32258521451520. Its totient is φ = 2498304826368.

The previous prime is 9999022638383. The next prime is 9999022638427. The reversal of 9999022638420 is 248362209999.

9999022638420 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 0 + 226 + 384 + 20 = 666.

It is a super-3 number, since 3×99990226384203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999022638427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6644200 + ... + 8008959.

It is an arithmetic number, because the mean of its divisors is an integer number (224017510080).

Almost surely, 29999022638420 is an apocalyptic number.

9999022638420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9999022638420 is an abundant number, since it is smaller than the sum of its proper divisors (22259498813100).

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

9999022638420 is a wasteful number, since it uses less digits than its factorization.

9999022638420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653414 (or 14653409 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 9999022638420 in words is "nine trillion, nine hundred ninety-nine billion, twenty-two million, six hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 223 255 306 340 446 510 612 669 765 892 1020 1115 1338 1530 2007 2230 2676 3060 3345 3791 4014 4460 6690 7582 8028 10035 11373 13380 15164 18955 20070 22746 34119 37910 40140 45492 56865 68238 75820 113730 136476 170595 227460 341190 682380 14653159 29306318 43959477 58612636 73265795 87918954 131878431 146531590 175837908 219797385 249103703 263756862 293063180 439594770 498207406 527513724 659392155 747311109 879189540 996414812 1245518515 1318784310 1494622218 2241933327 2491037030 2637568620 2989244436 3267654457 3736555545 4483866654 4982074060 6535308914 7473111090 8967733308 9802963371 11209666635 13070617828 14946222180 16338272285 19605926742 22419333270 29408890113 32676544570 39211853484 44838666540 49014816855 55550125769 58817780226 65353089140 98029633710 111100251538 117635560452 147044450565 166650377307 196059267420 222200503076 277750628845 294088901130 333300754614 499951131921 555501257690 588177802260 666601509228 833251886535 999902263842 1111002515380 1666503773070 1999804527684 2499755659605 3333007546140 4999511319210 9999022638420