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26946224448 = 26311132371601
BaseRepresentation
bin11001000110000111…
…101100000101000000
32120112221002000211220
4121012013230011000
5420141213140243
620213503035040
71642516062063
oct310607540500
976487060756
1026946224448
1110478494290
12528029ba80
132705802b10
141438a448da
15a7a9b1783
hex6461ec140

26946224448 has 448 divisors, whose sum is σ = 88779608064. Its totient is φ = 7096320000.

The previous prime is 26946224443. The next prime is 26946224477. The reversal of 26946224448 is 84442264962.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26946224448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26946224443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44835348 + ... + 44835948.

It is an arithmetic number, because the mean of its divisors is an integer number (198168768).

Almost surely, 226946224448 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 26946224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44389804032).

26946224448 is an abundant number, since it is smaller than the sum of its proper divisors (61833383616).

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

26946224448 is a wasteful number, since it uses less digits than its factorization.

26946224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The spelling of 26946224448 in words is "twenty-six billion, nine hundred forty-six million, two hundred twenty-four thousand, four hundred forty-eight".