Search a number
-
+
93053346880 = 2651327572273
BaseRepresentation
bin101011010101001101…
…0010110010001000000
322220012001021210121211
41112222122112101000
53011033124100010
6110425332055504
76502643253334
oct1265232262100
9286161253554
1093053346880
113651120886a
121604b464594
138a0c594400
14470a62d7c4
15264945c08a
hex15aa696440

93053346880 has 168 divisors, whose sum is σ = 240361954632. Its totient is φ = 34297675776.

The previous prime is 93053346857. The next prime is 93053346899. The reversal of 93053346880 is 8864335039.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27156403264 + 65896943616 = 164792^2 + 256704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40937424 + ... + 40939696.

Almost surely, 293053346880 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 93053346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120180977316).

93053346880 is an abundant number, since it is smaller than the sum of its proper divisors (147308607752).

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

93053346880 is a wasteful number, since it uses less digits than its factorization.

93053346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 93053346880 in words is "ninety-three billion, fifty-three million, three hundred forty-six thousand, eight hundred eighty".