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12238769088 = 263371325987
BaseRepresentation
bin10110110010111110…
…01100101111000000
31011120221101212222000
423121133030233000
5200031111102323
65342235144000
7612200551350
oct133137145700
934527355860
1012238769088
1152105143a7
1224568a5000
131200774300
14841612b60
154b96d6e43
hex2d97ccbc0

12238769088 has 336 divisors, whose sum is σ = 44533474560. Its totient is φ = 3227268096.

The previous prime is 12238769009. The next prime is 12238769113. The reversal of 12238769088 is 88096783221.

It is a happy number.

12238769088 is a `hidden beast` number, since 122 + 387 + 69 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2041231 + ... + 2047217.

Almost surely, 212238769088 is an apocalyptic number.

12238769088 is a gapful number since it is divisible by the number (18) 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 12238769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266737280).

12238769088 is an abundant number, since it is smaller than the sum of its proper divisors (32294705472).

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

12238769088 is a wasteful number, since it uses less digits than its factorization.

12238769088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12238769088 in words is "twelve billion, two hundred thirty-eight million, seven hundred sixty-nine thousand, eighty-eight".