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8609879040 = 21035780077
BaseRepresentation
bin10000000010011000…
…00101010000000000
3211020001000011122220
420001030011100000
5120113112112130
63542203331040
7423234523110
oct100114052000
924201004586
108609879040
113719063614
121803520a80
13a729ba4a9
145b96a3040
15355d1a410
hex201305400

8609879040 has 176 divisors, whose sum is σ = 31472575872. Its totient is φ = 1967947776.

The previous prime is 8609879017. The next prime is 8609879071. The reversal of 8609879040 is 409789068.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67482 + ... + 147558.

Almost surely, 28609879040 is an apocalyptic number.

8609879040 is a gapful number since it is divisible by the number (80) 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 8609879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736287936).

8609879040 is an abundant number, since it is smaller than the sum of its proper divisors (22862696832).

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

8609879040 is a wasteful number, since it uses less digits than its factorization.

8609879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80112 (or 80094 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 8609879040 is about 92789.4338812346. The cubic root of 8609879040 is about 2049.5838171598.

The spelling of 8609879040 in words is "eight billion, six hundred nine million, eight hundred seventy-nine thousand, forty".