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2300753341768 = 23725999479131
BaseRepresentation
bin100001011110101111100…
…101011110110101001000
322010221122110022121100011
4201132233211132311020
5300143420323414033
64520541304521304
7325136545505200
oct41365745366510
98127573277304
102300753341768
1180782030a992
12311a99780234
13138c6348a82b
147d4dda93400
153ecab898ccd
hex217af95ed48

2300753341768 has 48 divisors (see below), whose sum is σ = 5103279471600. Its totient is φ = 969324642720.

The previous prime is 2300753341759. The next prime is 2300753341801. The reversal of 2300753341768 is 8671433570032.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49716438 + ... + 49762693.

It is an arithmetic number, because the mean of its divisors is an integer number (106318322325).

Almost surely, 22300753341768 is an apocalyptic number.

2300753341768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2300753341768 is an abundant number, since it is smaller than the sum of its proper divisors (2802526129832).

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

2300753341768 is a wasteful number, since it uses less digits than its factorization.

2300753341768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99479210 (or 99479199 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 2300753341768 in words is "two trillion, three hundred billion, seven hundred fifty-three million, three hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1652 2891 3304 5782 11564 23128 99479131 198958262 397916524 696353917 795833048 1392707834 2785415668 4874477419 5570831336 5869268729 9748954838 11738537458 19497909676 23477074916 38995819352 41084881103 46954149832 82169762206 164339524412 287594167721 328679048824 575188335442 1150376670884 2300753341768