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9126141696 = 2834762873
BaseRepresentation
bin10000111111111010…
…11101111100000000
3212120000110000220000
420133331131330000
5122142243013241
64105324520000
7442103632050
oct103775357400
925500400800
109126141696
113963518371
1219283b0000
13b25947859
1462808d560
153862e6eb6
hex21ff5df00

9126141696 has 180 divisors, whose sum is σ = 31100498352. Its totient is φ = 2607427584.

The previous prime is 9126141691. The next prime is 9126141719. The reversal of 9126141696 is 6961416219.

It is a happy number.

9126141696 is a `hidden beast` number, since 9 + 12 + 614 + 16 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9126141691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113716 + ... + 176588.

Almost surely, 29126141696 is an apocalyptic number.

9126141696 is a gapful number since it is divisible by the number (96) 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 9126141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550249176).

9126141696 is an abundant number, since it is smaller than the sum of its proper divisors (21974356656).

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

9126141696 is an equidigital number, since it uses as much as digits as its factorization.

9126141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62908 (or 62885 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9126141696 is about 95530.8415957904. The cubic root of 9126141696 is about 2089.7567458775.

The spelling of 9126141696 in words is "nine billion, one hundred twenty-six million, one hundred forty-one thousand, six hundred ninety-six".