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12243750552 = 233211103914879
BaseRepresentation
bin10110110011100100…
…01100111010011000
31011121021202222020200
423121302030322120
5200033400004202
65342534022200
7612261106515
oct133162147230
934537688220
1012243750552
115213307010
1224584a7960
1312017c9817
1484214c30c
154b9d6ce1c
hex2d9c8ce98

12243750552 has 96 divisors (see below), whose sum is σ = 36211968000. Its totient is φ = 3706407360.

The previous prime is 12243750521. The next prime is 12243750569. The reversal of 12243750552 is 25505734221.

12243750552 is a `hidden beast` number, since 1 + 2 + 24 + 37 + 50 + 552 = 666.

12243750552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 815449 + ... + 830327.

It is an arithmetic number, because the mean of its divisors is an integer number (377208000).

Almost surely, 212243750552 is an apocalyptic number.

12243750552 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 12243750552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984000).

12243750552 is an abundant number, since it is smaller than the sum of its proper divisors (23968217448).

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

12243750552 is a wasteful number, since it uses less digits than its factorization.

12243750552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 12243750552 in words is "twelve billion, two hundred forty-three million, seven hundred fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1039 2078 3117 4156 6234 8312 9351 11429 12468 14879 18702 22858 24936 29758 34287 37404 44637 45716 59516 68574 74808 89274 91432 102861 119032 133911 137148 163669 178548 205722 267822 274296 327338 357096 411444 491007 535644 654676 822888 982014 1071288 1309352 1473021 1964028 2946042 3928056 5892084 11784168 15459281 30918562 46377843 61837124 92755686 123674248 139133529 170052091 185511372 278267058 340104182 371022744 510156273 556534116 680208364 1020312546 1113068232 1360416728 1530468819 2040625092 3060937638 4081250184 6121875276 12243750552