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299145264384 = 2833251119813
BaseRepresentation
bin1000101101001100111…
…00100111110100000000
31001121010221120221220110
410112212130213310000
514400122141430014
6345231521111320
730420045535641
oct4264634476400
91047127527813
10299145264384
1110595978082a
1249b87188540
1322294a22ca5
141069b8096c8
157bac623d59
hex45a6727d00

299145264384 has 72 divisors (see below), whose sum is σ = 796414201632. Its totient is φ = 99683584000.

The previous prime is 299145264377. The next prime is 299145264499. The reversal of 299145264384 is 483462541992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2436862 + ... + 2556674.

It is an arithmetic number, because the mean of its divisors is an integer number (11061308356).

Almost surely, 2299145264384 is an apocalyptic number.

299145264384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

299145264384 is an abundant number, since it is smaller than the sum of its proper divisors (497268937248).

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

299145264384 is a wasteful number, since it uses less digits than its factorization.

299145264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123083 (or 123069 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 299145264384 in words is "two hundred ninety-nine billion, one hundred forty-five million, two hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 3251 6502 9753 13004 19506 26008 39012 52016 78024 104032 119813 156048 208064 239626 312096 359439 416128 479252 624192 718878 832256 958504 1248384 1437756 1917008 2496768 2875512 3834016 5751024 7668032 11502048 15336064 23004096 30672128 46008192 92016384 389512063 779024126 1168536189 1558048252 2337072378 3116096504 4674144756 6232193008 9348289512 12464386016 18696579024 24928772032 37393158048 49857544064 74786316096 99715088128 149572632192 299145264384