Search a number
-
+
93423918744 = 2332131747532357
BaseRepresentation
bin101011100000001111…
…1111101111010011000
322221010212120210122200
41113000133331322120
53012313010344434
6110530210450200
76515063130642
oct1270037757230
9287125523580
1093423918744
1136691403a02
1216133593960
138a6b2a10c0
144743933892
15266bc5b199
hex15c07fde98

93423918744 has 384 divisors, whose sum is σ = 300340535040. Its totient is φ = 25968623616.

The previous prime is 93423918733. The next prime is 93423918779. The reversal of 93423918744 is 44781932439.

93423918744 is a `hidden beast` number, since 93 + 423 + 91 + 8 + 7 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39635614 + ... + 39637970.

It is an arithmetic number, because the mean of its divisors is an integer number (782136810).

Almost surely, 293423918744 is an apocalyptic number.

93423918744 is a gapful number since it is divisible by the number (94) 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 93423918744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150170267520).

93423918744 is an abundant number, since it is smaller than the sum of its proper divisors (206916616296).

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

93423918744 is a wasteful number, since it uses less digits than its factorization.

93423918744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2492 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 93423918744 in words is "ninety-three billion, four hundred twenty-three million, nine hundred eighteen thousand, seven hundred forty-four".