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2664114423300 = 22325211269102467
BaseRepresentation
bin100110110001001001100…
…110000000011000000100
3100102200112201022001220200
4212301021212000120010
5322122101243021200
65355513253530500
7363322144651011
oct46611146003004
910380481261820
102664114423300
11937932158580
123703a6643a30
131642c0193c55
1492d2dc04708
15494768c6800
hex26c49980604

2664114423300 has 108 divisors (see below), whose sum is σ = 9109656746736. Its totient is φ = 645845918400.

The previous prime is 2664114423253. The next prime is 2664114423323. The reversal of 2664114423300 is 33244114662.

2664114423300 is a `hidden beast` number, since 2 + 6 + 6 + 411 + 4 + 4 + 233 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134541334 + ... + 134561133.

Almost surely, 22664114423300 is an apocalyptic number.

2664114423300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2664114423300 is an abundant number, since it is smaller than the sum of its proper divisors (6445542323436).

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

2664114423300 is a wasteful number, since it uses less digits than its factorization.

2664114423300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269102498 (or 269102488 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 2664114423300 its reverse (33244114662), we get a palindrome (2697358537962).

The spelling of 2664114423300 in words is "two trillion, six hundred sixty-four billion, one hundred fourteen million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 269102467 538204934 807307401 1076409868 1345512335 1614614802 2421922203 2691024670 2960127137 3229229604 4036537005 4843844406 5382049340 5920254274 6727561675 8073074010 8880381411 9687688812 11840508548 12109611015 13455123350 14800635685 16146148020 17760762822 20182685025 24219222030 26641144233 26910246700 29601271370 35521525644 40365370050 44401907055 48438444060 53282288466 59202542740 60548055075 74003178425 80730740100 88803814110 106564576932 121096110150 133205721165 148006356850 177607628220 222009535275 242192220300 266411442330 296012713700 444019070550 532822884660 666028605825 888038141100 1332057211650 2664114423300