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109609681720 = 235721112740031
BaseRepresentation
bin110011000010100111…
…1110000001100111000
3101110220212221202100111
41212011033300030320
53243440034303340
6122204243514104
710630141631200
oct1460517601470
9343825852314
10109609681720
1142537898220
12192b0088934
13a44a698346
14543b41d400
152cb7be7aea
hex19853f0338

109609681720 has 192 divisors, whose sum is σ = 315439349760. Its totient is φ = 33894201600.

The previous prime is 109609681717. The next prime is 109609681721. The reversal of 109609681720 is 27186906901.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109609681721) 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 47 ways as a sum of consecutive naturals, for example, 2718105 + ... + 2758135.

It is an arithmetic number, because the mean of its divisors is an integer number (1642913280).

Almost surely, 2109609681720 is an apocalyptic number.

109609681720 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 109609681720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157719674880).

109609681720 is an abundant number, since it is smaller than the sum of its proper divisors (205829668040).

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

109609681720 is a wasteful number, since it uses less digits than its factorization.

109609681720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40194 (or 40183 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 109609681720 in words is "one hundred nine billion, six hundred nine million, six hundred eighty-one thousand, seven hundred twenty".