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12690226692 = 223311131959733
BaseRepresentation
bin10111101000110010…
…10111111000000100
31012202101220022101000
423310121113320010
5201442144223232
65455123333300
7626322101313
oct136431277004
935671808330
1012690226692
115422336160
122561b21230
1312731615a0
1488557027a
154e416227c
hex2f4657e04

12690226692 has 384 divisors, whose sum is σ = 41432832000. Its totient is φ = 3301378560.

The previous prime is 12690226687. The next prime is 12690226729. The reversal of 12690226692 is 29662209621.

12690226692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126902266922 (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 17312358 + ... + 17313090.

It is an arithmetic number, because the mean of its divisors is an integer number (107898000).

Almost surely, 212690226692 is an apocalyptic number.

12690226692 is a gapful number since it is divisible by the number (12) 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 12690226692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716416000).

12690226692 is an abundant number, since it is smaller than the sum of its proper divisors (28742605308).

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

12690226692 is a wasteful number, since it uses less digits than its factorization.

12690226692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12690226692 in words is "twelve billion, six hundred ninety million, two hundred twenty-six thousand, six hundred ninety-two".