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9107990892 = 22357112132337
BaseRepresentation
bin10000111101110000…
…01110100101101100
3212111202021212200000
420132320032211230
5122123121202032
64103435504300
7441463434210
oct103670164554
925452255600
109107990892
113954250400
1219222b8090
13b21c61030
146258c6940
1538490de7c
hex21ee0e96c

9107990892 has 864 divisors, whose sum is σ = 34614967296. Its totient is φ = 2032335360.

The previous prime is 9107990851. The next prime is 9107990897. The reversal of 9107990892 is 2980997019.

9107990892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9107990897) 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 287 ways as a sum of consecutive naturals, for example, 246161898 + ... + 246161934.

Almost surely, 29107990892 is an apocalyptic number.

9107990892 is a gapful number since it is divisible by the number (92) 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 9107990892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307483648).

9107990892 is an abundant number, since it is smaller than the sum of its proper divisors (25506976404).

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

9107990892 is a wasteful number, since it uses less digits than its factorization.

9107990892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 9107990892 is about 95435.7946055881. The cubic root of 9107990892 is about 2088.3704009951.

It can be divided in two parts, 9107 and 990892, that added together give a palindrome (999999).

The spelling of 9107990892 in words is "nine billion, one hundred seven million, nine hundred ninety thousand, eight hundred ninety-two".