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12466350768 = 243259715641
BaseRepresentation
bin10111001110000110…
…10110101010110000
31012011210122020100010
423213003112222300
5201012341211033
65421005054520
7620633142654
oct134703265260
935153566303
1012466350768
115317a25933
1224bab57440
131238967921
14863934a64
154ce68d863
hex2e70d6ab0

12466350768 has 20 divisors (see below), whose sum is σ = 32204739608. Its totient is φ = 4155450240.

The previous prime is 12466350739. The next prime is 12466350781. The reversal of 12466350768 is 86705366421.

12466350768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 259715641 = 12466350768 / (1 + 2 + 4 + 6 + 6 + 3 + 5 + 0 + 7 + 6 + 8).

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 3 ways as a sum of consecutive naturals, for example, 129857773 + ... + 129857868.

Almost surely, 212466350768 is an apocalyptic number.

It is an amenable number.

12466350768 is an abundant number, since it is smaller than the sum of its proper divisors (19738388840).

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

12466350768 is a wasteful number, since it uses less digits than its factorization.

12466350768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259715652 (or 259715646 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 12466350768 in words is "twelve billion, four hundred sixty-six million, three hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 259715641 519431282 779146923 1038862564 1558293846 2077725128 3116587692 4155450256 6233175384 12466350768