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12028527000064 = 29434547120157
BaseRepresentation
bin1010111100001001110000…
…0101000011101000000000
31120120220201201122212010101
42233002130011003220000
53034033410403000224
641325455022412144
72351014053345631
oct257023405035000
946526651585111
1012028527000064
1139182a69aa213
121423261431054
13693392857093
142d8280551888
1515cd52585044
hexaf09c143a00

12028527000064 has 80 divisors (see below), whose sum is σ = 24598094023008. Its totient is φ = 5873056100352.

The previous prime is 12028527000059. The next prime is 12028527000071. The reversal of 12028527000064 is 46000072582021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12028526999987 and 12028527000032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100046674 + ... + 100166830.

Almost surely, 212028527000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12028527000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299047011504).

12028527000064 is an abundant number, since it is smaller than the sum of its proper divisors (12569567022944).

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

12028527000064 is an equidigital number, since it uses as much as digits as its factorization.

12028527000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124765 (or 124749 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 12028527000064 its reverse (46000072582021), we get a palindrome (58028599582085).

The spelling of 12028527000064 in words is "twelve trillion, twenty-eight billion, five hundred twenty-seven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 4547 5504 9094 11008 18188 22016 36376 72752 120157 145504 195521 240314 291008 391042 480628 582016 782084 961256 1164032 1564168 1922512 2328064 3128336 3845024 5166751 6256672 7690048 10333502 12513344 15380096 20667004 25026688 30760192 41334008 50053376 61520384 82668016 100106752 165336032 330672064 546353879 661344128 1092707758 1322688256 2185415516 2645376512 4370831032 8741662064 17483324128 23493216797 34966648256 46986433594 69933296512 93972867188 139866593024 187945734376 279733186048 375891468752 751782937504 1503565875008 3007131750016 6014263500032 12028527000064