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12377064448 = 21073131269
BaseRepresentation
bin10111000011011101…
…10000010000000000
31011221120122000112101
423201232300100000
5200322012030243
65404055240144
7615500212000
oct134156602000
934846560471
1012377064448
115281591791
122495079054
131223305798
14855b32000
154c690354d
hex2e1bb0400

12377064448 has 176 divisors, whose sum is σ = 29182032000. Its totient is φ = 5244395520.

The previous prime is 12377064443. The next prime is 12377064449. The reversal of 12377064448 is 84446077321.

It is a junction number, because it is equal to n+sod(n) for n = 12377064398 and 12377064407.

It is not an unprimeable number, because it can be changed into a prime (12377064443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46011258 + ... + 46011526.

It is an arithmetic number, because the mean of its divisors is an integer number (165807000).

Almost surely, 212377064448 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 12377064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591016000).

12377064448 is an abundant number, since it is smaller than the sum of its proper divisors (16804967552).

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

12377064448 is an equidigital number, since it uses as much as digits as its factorization.

12377064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 12377064448 in words is "twelve billion, three hundred seventy-seven million, sixty-four thousand, four hundred forty-eight".