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113278487040 = 29345546289
BaseRepresentation
bin110100101111111101…
…1001000101000000000
3101211101120110101010000
41221133323020220000
53323443243041130
6124012303040000
711120101152465
oct1513773105000
9354346411100
10113278487040
114404a830a34
1219b548a0000
13a8b37b9274
1456a879d66c
152e2ed4b260
hex1a5fec8a00

113278487040 has 200 divisors, whose sum is σ = 405728490420. Its totient is φ = 30207541248.

The previous prime is 113278486957. The next prime is 113278487137. The reversal of 113278487040 is 40784872311.

It can be written as a sum of positive squares in 2 ways, for example, as 112283967744 + 994519296 = 335088^2 + 31536^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 65785 + ... + 480504.

Almost surely, 2113278487040 is an apocalyptic number.

113278487040 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 113278487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202864245210).

113278487040 is an abundant number, since it is smaller than the sum of its proper divisors (292450003380).

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

113278487040 is an frugal number, since it uses more digits than its factorization.

113278487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546324 (or 546299 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 113278487040 in words is "one hundred thirteen billion, two hundred seventy-eight million, four hundred eighty-seven thousand, forty".