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8997340968 = 23327117920543
BaseRepresentation
bin10000110000100100…
…01000011100101000
3212020001002021111200
420120102020130220
5121411304402333
64044444124200
7435651064530
oct103022103450
925201067450
108997340968
1138a7845490
1218b1236660
13b0505bbc5
14614d224c0
15379d53c13
hex218488728

8997340968 has 192 divisors, whose sum is σ = 30766694400. Its totient is φ = 2307277440.

The previous prime is 8997340907. The next prime is 8997341009. The reversal of 8997340968 is 8690437998.

8997340968 is a `hidden beast` number, since 89 + 97 + 3 + 409 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427705 + ... + 448247.

It is an arithmetic number, because the mean of its divisors is an integer number (160243200).

Almost surely, 28997340968 is an apocalyptic number.

8997340968 is a gapful number since it is divisible by the number (88) 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 8997340968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383347200).

8997340968 is an abundant number, since it is smaller than the sum of its proper divisors (21769353432).

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

8997340968 is a wasteful number, since it uses less digits than its factorization.

8997340968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20652 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 8997340968 is about 94854.3144406199. The cubic root of 8997340968 is about 2079.8789506724.

The spelling of 8997340968 in words is "eight billion, nine hundred ninety-seven million, three hundred forty thousand, nine hundred sixty-eight".