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12443507919360 = 2937571719983
BaseRepresentation
bin1011010100010011101011…
…0111101000101000000000
31122001120212110110210000000
42311010322313220220000
53112333301011404420
642244245120000000
72423004504066330
oct265047267505000
948046773423000
1012443507919360
113a68297900a51
12148b775760000
136c3557a905bb
143103aa1ad0c0
15168a3e274690
hexb513ade8a00

12443507919360 has 2560 divisors, whose sum is σ = 57054291148800. Its totient is φ = 2533452152832.

The previous prime is 12443507919313. The next prime is 12443507919517. The reversal of 12443507919360 is 6391970534421.

12443507919360 is a `hidden beast` number, since 1 + 2 + 4 + 43 + 507 + 9 + 1 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a junction number, because it is equal to n+sod(n) for n = 12443507919297 and 12443507919306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12658705429 + ... + 12658706411.

It is an arithmetic number, because the mean of its divisors is an integer number (22286832480).

Almost surely, 212443507919360 is an apocalyptic number.

12443507919360 is a gapful number since it is divisible by the number (10) 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 12443507919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28527145574400).

12443507919360 is an abundant number, since it is smaller than the sum of its proper divisors (44610783229440).

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

12443507919360 is an frugal number, since it uses more digits than its factorization.

12443507919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 12443507919360 in words is "twelve trillion, four hundred forty-three billion, five hundred seven million, nine hundred nineteen thousand, three hundred sixty".