Search a number
-
+
113576748480 = 26345133183131
BaseRepresentation
bin110100111000110110…
…0111010010111000000
3101212011100200121220000
41221301230322113000
53330101121422410
6124102035520000
711130352301406
oct1516154722700
9355140617800
10113576748480
1144193128198
121a018759000
13a930528920
1456d623d476
152e4b114dc0
hex1a71b3a5c0

113576748480 has 1120 divisors, whose sum is σ = 458006427648. Its totient is φ = 26525491200.

The previous prime is 113576748479. The next prime is 113576748491. The reversal of 113576748480 is 84847675311.

113576748480 is a `hidden beast` number, since 1 + 13 + 5 + 76 + 7 + 484 + 80 = 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, 866998015 + ... + 866998145.

Almost surely, 2113576748480 is an apocalyptic number.

113576748480 is a gapful number since it is divisible by the number (10) 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 113576748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003213824).

113576748480 is an abundant number, since it is smaller than the sum of its proper divisors (344429679168).

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

113576748480 is a wasteful number, since it uses less digits than its factorization.

113576748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 113576748480 in words is "one hundred thirteen billion, five hundred seventy-six million, seven hundred forty-eight thousand, four hundred eighty".