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109522796544 = 214337113313
BaseRepresentation
bin110011000000000010…
…0010100000000000000
3101110200211110112022000
41212000010110000000
53243300313442134
6122151501344000
710625035260510
oct1460004240000
9343624415260
10109522796544
11424a2844097
1219286b68000
13a4356970b5
14542da83840
152cb0283e99
hex1980114000

109522796544 has 480 divisors, whose sum is σ = 375336810240. Its totient is φ = 30916214784.

The previous prime is 109522796519. The next prime is 109522796573. The reversal of 109522796544 is 445697225901.

It is a happy number.

109522796544 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 2 + 2 + 7 + 96 + 544 = 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349912932 + ... + 349913244.

It is an arithmetic number, because the mean of its divisors is an integer number (781951688).

Almost surely, 2109522796544 is an apocalyptic number.

109522796544 is a gapful number since it is divisible by the number (14) 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 109522796544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187668405120).

109522796544 is an abundant number, since it is smaller than the sum of its proper divisors (265814013696).

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

109522796544 is an equidigital number, since it uses as much as digits as its factorization.

109522796544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 109522796544 in words is "one hundred nine billion, five hundred twenty-two million, seven hundred ninety-six thousand, five hundred forty-four".