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113490449280 = 273251322337137
BaseRepresentation
bin110100110110010001…
…1101101001110000000
3101211221100022011122100
41221230203231032000
53324412023334110
6124045314110400
711125253621265
oct1515443551600
9354840264570
10113490449280
114414944433a
1219bb387b400
13a9186a1300
1456c89b726c
152e43769bc0
hex1a6c8ed380

113490449280 has 1152 divisors, whose sum is σ = 458099478720. Its totient is φ = 25809518592.

The previous prime is 113490449273. The next prime is 113490449287. The reversal of 113490449280 is 82944094311.

113490449280 is a `hidden beast` number, since 11 + 34 + 90 + 449 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (113490449273) and next prime (113490449287).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113490449287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 828397372 + ... + 828397508.

Almost surely, 2113490449280 is an apocalyptic number.

113490449280 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 113490449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229049739360).

113490449280 is an abundant number, since it is smaller than the sum of its proper divisors (344609029440).

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

113490449280 is a wasteful number, since it uses less digits than its factorization.

113490449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 113490449280 in words is "one hundred thirteen billion, four hundred ninety million, four hundred forty-nine thousand, two hundred eighty".