Search a number
-
+
90531454732512 = 25373831271225529
BaseRepresentation
bin10100100101011001111111…
…001100110100100011100000
3102212112201111201220221220220
4110211121333030310203200
543331231404402420022
6520313324241003040
725032452562253653
oct2445317714644340
9385481451827826
1090531454732512
11269341a1056762
12a1a1729023480
133b69105a03561
14184da6262d89a
15a6ede6b9085c
hex52567f3348e0

90531454732512 has 192 divisors, whose sum is σ = 245722804346880. Its totient is φ = 29173605801984.

The previous prime is 90531454732391. The next prime is 90531454732517. The reversal of 90531454732512 is 21523745413509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90531454732517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73258564 + ... + 74484092.

It is an arithmetic number, because the mean of its divisors is an integer number (1279806272640).

Almost surely, 290531454732512 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 90531454732512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122861402173440).

90531454732512 is an abundant number, since it is smaller than the sum of its proper divisors (155191349614368).

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

90531454732512 is a wasteful number, since it uses less digits than its factorization.

90531454732512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225825 (or 1225817 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 90531454732512 in words is "ninety trillion, five hundred thirty-one billion, four hundred fifty-four million, seven hundred thirty-two thousand, five hundred twelve".