Search a number
-
+
91341020312640 = 263657271241467
BaseRepresentation
bin10100110001001011111101…
…000100011011010001000000
3102222102010010202101112000000
4110301023331010123101000
543433012402200001030
6522133252505000000
725145112430201500
oct2461137504332100
9388363122345000
1091341020312640
112711656679037a
12a2b2602a83000
133bc75626670c7
14187ad01153a00
15a85ec9b2d860
hex5312fd11b440

91341020312640 has 2352 divisors, whose sum is σ = 387118302240384. Its totient is φ = 20454587596800.

The previous prime is 91341020312567. The next prime is 91341020312723. The reversal of 91341020312640 is 4621302014319.

91341020312640 is a `hidden beast` number, since 9 + 1 + 3 + 4 + 1 + 0 + 2 + 0 + 3 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×913410203126402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 91341020312595 and 91341020312604.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 195591049687 + ... + 195591050153.

Almost surely, 291341020312640 is an apocalyptic number.

91341020312640 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 91341020312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559151120192).

91341020312640 is an abundant number, since it is smaller than the sum of its proper divisors (295777281927744).

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

91341020312640 is a wasteful number, since it uses less digits than its factorization.

91341020312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 91341020312640 its reverse (4621302014319), we get a palindrome (95962322326959).

The spelling of 91341020312640 in words is "ninety-one trillion, three hundred forty-one billion, twenty million, three hundred twelve thousand, six hundred forty".