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661109822784 = 2634418934949
BaseRepresentation
bin10011001111011010011…
…01110101010101000000
32100012102212202200220000
421213231031311111000
541312423103312114
61223413141520000
765522626526445
oct11475515652500
92305385680800
10661109822784
11235414294974
12a8164413000
134a45b2c7368
1423dd82b19cc
15122e4c46e09
hex99ed375540

661109822784 has 280 divisors, whose sum is σ = 2030149737000. Its totient is φ = 212573306880.

The previous prime is 661109822777. The next prime is 661109822803. The reversal of 661109822784 is 487228901166.

It is a happy number.

661109822784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75884822784 + 585225000000 = 275472^2 + 765000^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 661109822784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18898942 + ... + 18933890.

It is an arithmetic number, because the mean of its divisors is an integer number (7250534775).

Almost surely, 2661109822784 is an apocalyptic number.

661109822784 is a gapful number since it is divisible by the number (64) 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 661109822784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015074868500).

661109822784 is an abundant number, since it is smaller than the sum of its proper divisors (1369039914216).

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

661109822784 is a wasteful number, since it uses less digits than its factorization.

661109822784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35103 (or 35084 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 661109822784 in words is "six hundred sixty-one billion, one hundred nine million, eight hundred twenty-two thousand, seven hundred eighty-four".