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109369836576 = 25357111314051
BaseRepresentation
bin110010111011011110…
…0110100010000100000
3101110022011122100200000
41211312330310100200
53242442134232301
6122124355100000
710621200162210
oct1456674642040
9343264570600
10109369836576
114242446aaa0
12192438a1600
13a40ca9cb40
145417628240
152ca1b1c786
hex1976f34420

109369836576 has 576 divisors, whose sum is σ = 433091183616. Its totient is φ = 26220672000.

The previous prime is 109369836571. The next prime is 109369836599. The reversal of 109369836576 is 675638963901.

It is a super-2 number, since 2×1093698365762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109369836571) 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 95 ways as a sum of consecutive naturals, for example, 7776751 + ... + 7790801.

It is an arithmetic number, because the mean of its divisors is an integer number (751894416).

Almost surely, 2109369836576 is an apocalyptic number.

109369836576 is a gapful number since it is divisible by the number (16) 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 109369836576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216545591808).

109369836576 is an abundant number, since it is smaller than the sum of its proper divisors (323721347040).

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

109369836576 is a wasteful number, since it uses less digits than its factorization.

109369836576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 109369836576 in words is "one hundred nine billion, three hundred sixty-nine million, eight hundred thirty-six thousand, five hundred seventy-six".