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12443690532 = 223721317313089
BaseRepresentation
bin10111001011011001…
…11010011000100100
31012010012222222100010
423211230322120210
5200441041044112
65414435250220
7620236424100
oct134554723044
935105888303
1012443690532
115306158969
1224b3449970
1312340626c0
14860916900
154cc6b463c
hex2e5b3a624

12443690532 has 288 divisors, whose sum is σ = 39768744960. Its totient is φ = 2988195840.

The previous prime is 12443690521. The next prime is 12443690543. The reversal of 12443690532 is 23509634421.

12443690532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12443690521) and next prime (12443690543).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 4026844 + ... + 4029932.

It is an arithmetic number, because the mean of its divisors is an integer number (138085920).

Almost surely, 212443690532 is an apocalyptic number.

12443690532 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 12443690532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884372480).

12443690532 is an abundant number, since it is smaller than the sum of its proper divisors (27325054428).

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

12443690532 is a wasteful number, since it uses less digits than its factorization.

12443690532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 12443690532 in words is "twelve billion, four hundred forty-three million, six hundred ninety thousand, five hundred thirty-two".