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109275395040 = 253257109271367
BaseRepresentation
bin110010111000101010…
…0100011001111100000
3101110001120221020020100
41211301110203033200
53242244000120130
6122111142542400
710615642350360
oct1456124431740
9343046836210
10109275395040
1142386125739
1219218137a00
13a3c6354386
145408c829a0
152c986b4c60
hex19715233e0

109275395040 has 576 divisors, whose sum is σ = 432847134720. Its totient is φ = 24589578240.

The previous prime is 109275395027. The next prime is 109275395057. The reversal of 109275395040 is 40593572901.

It is a happy number.

109275395040 is a `hidden beast` number, since 1 + 0 + 9 + 27 + 539 + 50 + 40 = 666.

It is a super-2 number, since 2×1092753950402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 297752937 + ... + 297753303.

It is an arithmetic number, because the mean of its divisors is an integer number (751470720).

Almost surely, 2109275395040 is an apocalyptic number.

109275395040 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 109275395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216423567360).

109275395040 is an abundant number, since it is smaller than the sum of its proper divisors (323571739680).

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

109275395040 is a wasteful number, since it uses less digits than its factorization.

109275395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 109275395040 in words is "one hundred nine billion, two hundred seventy-five million, three hundred ninety-five thousand, forty".