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12266678424 = 233721113231181
BaseRepresentation
bin10110110110010011…
…01010100010011000
31011122212220211101010
423123021222202120
5200110232202144
65345113253520
7612660021600
oct133311524230
934585824333
1012266678424
115225247070
1224641042a0
131206496800
148451d9c00
154bbd9b5b9
hex2db26a898

12266678424 has 576 divisors, whose sum is σ = 43740103680. Its totient is φ = 2830464000.

The previous prime is 12266678401. The next prime is 12266678441. The reversal of 12266678424 is 42487666221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67771614 + ... + 67771794.

It is an arithmetic number, because the mean of its divisors is an integer number (75937680).

Almost surely, 212266678424 is an apocalyptic number.

12266678424 is a gapful number since it is divisible by the number (14) 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 12266678424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870051840).

12266678424 is an abundant number, since it is smaller than the sum of its proper divisors (31473425256).

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

12266678424 is a wasteful number, since it uses less digits than its factorization.

12266678424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 12266678424 in words is "twelve billion, two hundred sixty-six million, six hundred seventy-eight thousand, four hundred twenty-four".