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12268774080 = 2633523107577
BaseRepresentation
bin10110110110100011…
…01010001011000000
31011200000212022002000
423123101222023000
5200111301232310
65345230224000
7613013600433
oct133321521300
934600768060
1012268774080
115226448612
122464955000
131206a4b644
148455c381a
154bc1624c0
hex2db46a2c0

12268774080 has 448 divisors, whose sum is σ = 45664404480. Its totient is φ = 3094806528.

The previous prime is 12268774051. The next prime is 12268774097. The reversal of 12268774080 is 8047786221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21262752 + ... + 21263328.

Almost surely, 212268774080 is an apocalyptic number.

12268774080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22832202240).

12268774080 is an abundant number, since it is smaller than the sum of its proper divisors (33395630400).

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

12268774080 is a wasteful number, since it uses less digits than its factorization.

12268774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12268774080 in words is "twelve billion, two hundred sixty-eight million, seven hundred seventy-four thousand, eighty".