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12153235536 = 243213173197127
BaseRepresentation
bin10110101000110001…
…11010100001010000
31011100222110022222200
423110120322201100
5144342212014121
65325542003200
7610111540401
oct132430724120
934328408880
1012153235536
115177203812
122432116500
1311b8b27340
148341099a8
154b1e3da26
hex2d463a850

12153235536 has 480 divisors, whose sum is σ = 40765390848. Its totient is φ = 3344302080.

The previous prime is 12153235529. The next prime is 12153235559. The reversal of 12153235536 is 63553235121.

It is a super-2 number, since 2×121532355362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12153235536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95694705 + ... + 95694831.

Almost surely, 212153235536 is an apocalyptic number.

12153235536 is a gapful number since it is divisible by the number (16) 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 12153235536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382695424).

12153235536 is an abundant number, since it is smaller than the sum of its proper divisors (28612155312).

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

12153235536 is a wasteful number, since it uses less digits than its factorization.

12153235536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The spelling of 12153235536 in words is "twelve billion, one hundred fifty-three million, two hundred thirty-five thousand, five hundred thirty-six".