Search a number
-
+
91729428480 = 223375
BaseRepresentation
bin101010101101110000…
…0000000000000000000
322202202210002210000000
41111123200000000000
53000330213202410
6110050120000000
76425066164044
oct1253340000000
9282683083000
1091729428480
11359a1964328
1215940000000
13885b203641
144622884024
1525bd0e4dc0
hex155b800000

91729428480 has 384 divisors, whose sum is σ = 330175591200. Its totient is φ = 24461180928.

The previous prime is 91729428473. The next prime is 91729428481. The reversal of 91729428480 is 8482492719.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)5 ⋅ (2!)4.

91729428480 is a `hidden beast` number, since 9 + 1 + 72 + 94 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×917294284802 (a number of 23 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5760 × 3456 × 4608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91729428481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18345885694 + ... + 18345885698.

Almost surely, 291729428480 is an apocalyptic number.

91729428480 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 91729428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087795600).

91729428480 is an abundant number, since it is smaller than the sum of its proper divisors (238446162720).

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

91729428480 is an frugal number, since it uses more digits than its factorization.

91729428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 91729428480 in words is "ninety-one billion, seven hundred twenty-nine million, four hundred twenty-eight thousand, four hundred eighty".