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969104640 = 28357311163
BaseRepresentation
bin111001110000110…
…101110100000000
32111112112121122110
4321300311310000
53441042322030
6240055135320
733005152650
oct7160656400
92445477573
10969104640
11458041729
12230674540
13125a107ca
14929c8360
155a12c1b0
hex39c35d00

969104640 has 288 divisors, whose sum is σ = 3654475776. Its totient is φ = 214179840.

The previous prime is 969104639. The next prime is 969104663. The reversal of 969104640 is 46401969.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832699 + ... + 833861.

It is an arithmetic number, because the mean of its divisors is an integer number (12689152).

Almost surely, 2969104640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827237888).

969104640 is an abundant number, since it is smaller than the sum of its proper divisors (2685371136).

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

969104640 is a wasteful number, since it uses less digits than its factorization.

969104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 969104640 is about 31130.4455477271. The cubic root of 969104640 is about 989.5936297694.

The spelling of 969104640 in words is "nine hundred sixty-nine million, one hundred four thousand, six hundred forty".