Search a number
-
+
91442373120 = 29335741929
BaseRepresentation
bin101010100101001100…
…0111110001000000000
322202000202221212002000
41111022120332020000
52444233221414440
6110001423224000
76415012230000
oct1251230761000
9282022855060
1091442373120
113586492139a
121587ba48000
1388138b87b7
1445d66c0000
1525a2ce1730
hex154a63e200

91442373120 has 1600 divisors, whose sum is σ = 412620912000. Its totient is φ = 19118260224.

The previous prime is 91442373109. The next prime is 91442373161. The reversal of 91442373120 is 2137324419.

It is a happy number.

91442373120 is a `hidden beast` number, since 91 + 442 + 3 + 7 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3153185266 + ... + 3153185294.

It is an arithmetic number, because the mean of its divisors is an integer number (257888070).

Almost surely, 291442373120 is an apocalyptic number.

91442373120 is a gapful number since it is divisible by the number (90) 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 91442373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206310456000).

91442373120 is an abundant number, since it is smaller than the sum of its proper divisors (321178538880).

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

91442373120 is an equidigital number, since it uses as much as digits as its factorization.

91442373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 91442373120 its reverse (2137324419), we get a palindrome (93579697539).

The spelling of 91442373120 in words is "ninety-one billion, four hundred forty-two million, three hundred seventy-three thousand, one hundred twenty".