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12444092520 = 2335103700771
BaseRepresentation
bin10111001011011100…
…11100100001101000
31012010020202101202120
423211232130201220
5200441141430040
65414452031240
7620243020056
oct134556344150
935106671676
1012444092520
115306402992
1224b3602520
131234173672
148609bd1d6
154cc7437d0
hex2e5b9c868

12444092520 has 32 divisors (see below), whose sum is σ = 37332277920. Its totient is φ = 3318424640.

The previous prime is 12444092519. The next prime is 12444092567. The reversal of 12444092520 is 2529044421.

It is a happy number.

12444092520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 51850266 + ... + 51850505.

It is an arithmetic number, because the mean of its divisors is an integer number (1166633685).

Almost surely, 212444092520 is an apocalyptic number.

12444092520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444092520 is an abundant number, since it is smaller than the sum of its proper divisors (24888185400).

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

12444092520 is a wasteful number, since it uses less digits than its factorization.

12444092520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103700785 (or 103700781 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 12444092520 in words is "twelve billion, four hundred forty-four million, ninety-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103700771 207401542 311102313 414803084 518503855 622204626 829606168 1037007710 1244409252 1555511565 2074015420 2488818504 3111023130 4148030840 6222046260 12444092520