Search a number
-
+
91468297440 = 25345133183211
BaseRepresentation
bin101010100101111101…
…1110111010011100000
322202002120201221120000
41111023323313103200
52444311341004230
6110004151020000
76415445462052
oct1251373672340
9282076657500
1091468297440
1135878518753
121588866a600
138819094630
1445d9d0b8d2
1525a5212b60
hex154bef74e0

91468297440 has 960 divisors, whose sum is σ = 364897032192. Its totient is φ = 21424435200.

The previous prime is 91468297399. The next prime is 91468297451. The reversal of 91468297440 is 4479286419.

91468297440 is a `hidden beast` number, since 91 + 468 + 2 + 97 + 4 + 4 + 0 = 666.

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

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, 433498935 + ... + 433499145.

Almost surely, 291468297440 is an apocalyptic number.

91468297440 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 91468297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182448516096).

91468297440 is an abundant number, since it is smaller than the sum of its proper divisors (273428734752).

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

91468297440 is a wasteful number, since it uses less digits than its factorization.

91468297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 91468297440 in words is "ninety-one billion, four hundred sixty-eight million, two hundred ninety-seven thousand, four hundred forty".