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9106996320 = 2533597103211
BaseRepresentation
bin10000111101101000…
…11011110001100000
3212111200102100101000
420132310123301200
5122122342340240
64103402312000
7441452122452
oct103664336140
925450370330
109106996320
113953731144
121921ab8600
13b219a3426
146257082d2
153847b4430
hex21ed1bc60

9106996320 has 384 divisors, whose sum is σ = 32669844480. Its totient is φ = 2368880640.

The previous prime is 9106996277. The next prime is 9106996321. The reversal of 9106996320 is 236996019.

It is a happy number.

9106996320 is a `hidden beast` number, since 9 + 1 + 0 + 6 + 9 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9106996321) 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, 43161015 + ... + 43161225.

It is an arithmetic number, because the mean of its divisors is an integer number (85077720).

Almost surely, 29106996320 is an apocalyptic number.

9106996320 is a gapful number since it is divisible by the number (90) 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 9106996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334922240).

9106996320 is an abundant number, since it is smaller than the sum of its proper divisors (23562848160).

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

9106996320 is a wasteful number, since it uses less digits than its factorization.

9106996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9106996320 is about 95430.5837769004. The cubic root of 9106996320 is about 2088.2943831203.

The spelling of 9106996320 in words is "nine billion, one hundred six million, nine hundred ninety-six thousand, three hundred twenty".