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11720019168 = 25331113293271
BaseRepresentation
bin10101110101001000…
…10100110011100000
31010020210021122212000
422322210110303200
5143000311103133
65214544404000
7563301343044
oct127244246340
933223248760
1011720019168
114a74710960
122331016600
13114a155ab0
147d277a024
15488db8413
hex2ba914ce0

11720019168 has 384 divisors, whose sum is σ = 41557017600. Its totient is φ = 3164313600.

The previous prime is 11720019163. The next prime is 11720019169. The reversal of 11720019168 is 86191002711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720019163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581373 + ... + 3584643.

It is an arithmetic number, because the mean of its divisors is an integer number (108221400).

Almost surely, 211720019168 is an apocalyptic number.

11720019168 is a gapful number since it is divisible by the number (18) 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 11720019168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778508800).

11720019168 is an abundant number, since it is smaller than the sum of its proper divisors (29836998432).

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

11720019168 is a wasteful number, since it uses less digits than its factorization.

11720019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11720019168 in words is "eleven billion, seven hundred twenty million, nineteen thousand, one hundred sixty-eight".