Search a number
-
+
91450404864 = 212347132233
BaseRepresentation
bin101010100101011011…
…1100111000000000000
322202001100001220120000
41111022313213000000
52444242300423424
6110002311320000
76415140421110
oct1251267470000
9282040056500
1091450404864
11358694077a5
1215882680000
13881546b500
1445d77b1040
1525a387b3c9
hex154ade7000

91450404864 has 780 divisors, whose sum is σ = 339530841936. Its totient is φ = 24015273984.

The previous prime is 91450404823. The next prime is 91450404869. The reversal of 91450404864 is 46840405419.

91450404864 is a `hidden beast` number, since 91 + 45 + 0 + 40 + 486 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91450404869) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 392490892 + ... + 392491124.

Almost surely, 291450404864 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 91450404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169765420968).

91450404864 is an abundant number, since it is smaller than the sum of its proper divisors (248080437072).

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

91450404864 is a wasteful number, since it uses less digits than its factorization.

91450404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 91450404864 in words is "ninety-one billion, four hundred fifty million, four hundred four thousand, eight hundred sixty-four".