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12268666950 = 235231101151173
BaseRepresentation
bin10110110110100010…
…10000000001000110
31011200000122212010020
423123101100001012
5200111234320300
65345224040010
7613012643211
oct133321200106
934600585106
1012268666950
115226385081
122464903006
131206a11957
14845596778
154bc1408a0
hex2db450046

12268666950 has 192 divisors, whose sum is σ = 32113373184. Its totient is φ = 3096000000.

The previous prime is 12268666931. The next prime is 12268666967. The reversal of 12268666950 is 5966686221.

It is a super-3 number, since 3×122686669503 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12268666893 and 12268666902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70917064 + ... + 70917236.

It is an arithmetic number, because the mean of its divisors is an integer number (167257152).

Almost surely, 212268666950 is an apocalyptic number.

12268666950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268666950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056686592).

12268666950 is an abundant number, since it is smaller than the sum of its proper divisors (19844706234).

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

12268666950 is a wasteful number, since it uses less digits than its factorization.

12268666950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12268666950 in words is "twelve billion, two hundred sixty-eight million, six hundred sixty-six thousand, nine hundred fifty".