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12544068753216 = 26357112131731139
BaseRepresentation
bin1011011010001010010011…
…0000110001011101000000
31122102012102201102102200000
42312202210300301131000
53121010223100100331
642402355435400000
72433164501061060
oct266424460613500
948365381372600
1012544068753216
113aa6a00873900
1214a715b2b3000
136ccb928347a0
143151c98dd3a0
1516b4778420e6
hexb68a4c31740

12544068753216 has 4032 divisors, whose sum is σ = 55529694904320. Its totient is φ = 2719634227200.

The previous prime is 12544068753211. The next prime is 12544068753221. The reversal of 12544068753216 is 61235786044521.

12544068753216 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 40 + 68 + 7 + 532 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12544068753211) and next prime (12544068753221).

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544068753211) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 90245098875 + ... + 90245099013.

It is an arithmetic number, because the mean of its divisors is an integer number (13772245760).

Almost surely, 212544068753216 is an apocalyptic number.

12544068753216 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 12544068753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764847452160).

12544068753216 is an abundant number, since it is smaller than the sum of its proper divisors (42985626151104).

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

12544068753216 is a wasteful number, since it uses less digits than its factorization.

12544068753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12544068753216 in words is "twelve trillion, five hundred forty-four billion, sixty-eight million, seven hundred fifty-three thousand, two hundred sixteen".