Search a number
-
+
12303976800 = 253525126657
BaseRepresentation
bin10110111010101111…
…11100100101100000
31011202111002210010110
423131113330211200
5200144304224200
65352524531320
7613622035323
oct133527744540
934674083113
1012303976800
115244301975
1224746b0b40
13121112575b
1484a1487ba
154c02b7b50
hex2dd5fc960

12303976800 has 72 divisors (see below), whose sum is σ = 40049452296. Its totient is φ = 3281059840.

The previous prime is 12303976793. The next prime is 12303976823. The reversal of 12303976800 is 867930321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2560929 + ... + 2565728.

It is an arithmetic number, because the mean of its divisors is an integer number (556242393).

Almost surely, 212303976800 is an apocalyptic number.

12303976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303976800 is an abundant number, since it is smaller than the sum of its proper divisors (27745475496).

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

12303976800 is a wasteful number, since it uses less digits than its factorization.

12303976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126680 (or 5126667 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 12303976800 in words is "twelve billion, three hundred three million, nine hundred seventy-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5126657 10253314 15379971 20506628 25633285 30759942 41013256 51266570 61519884 76899855 82026512 102533140 123039768 128166425 153799710 164053024 205066280 246079536 256332850 307599420 384499275 410132560 492159072 512665700 615198840 768998550 820265120 1025331400 1230397680 1537997100 2050662800 2460795360 3075994200 4101325600 6151988400 12303976800