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12499872473088 = 21337711131741
BaseRepresentation
bin1011010111100101101001…
…1101010110000000000000
31122020222100121022210000000
42311321122131112000000
53114244214323114323
642330210120000000
72430041330641320
oct265713235260000
948228317283000
1012499872473088
113a8a19115a460
12149a686000000
136c896b2a9740
14312dd5cc7280
1516a23c762e43
hexb5e5a756000

12499872473088 has 3584 divisors, whose sum is σ = 54599458959360. Its totient is φ = 2751882854400.

The previous prime is 12499872473063. The next prime is 12499872473159. The reversal of 12499872473088 is 88037427899421.

12499872473088 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 9 + 8 + 72 + 473 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×124998724730882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 304874938348 + ... + 304874938388.

It is an arithmetic number, because the mean of its divisors is an integer number (15234224040).

Almost surely, 212499872473088 is an apocalyptic number.

12499872473088 is a gapful number since it is divisible by the number (18) 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 12499872473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27299729479680).

12499872473088 is an abundant number, since it is smaller than the sum of its proper divisors (42099586486272).

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

12499872473088 is an equidigital number, since it uses as much as digits as its factorization.

12499872473088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 12499872473088 in words is "twelve trillion, four hundred ninety-nine billion, eight hundred seventy-two million, four hundred seventy-three thousand, eighty-eight".