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8665332480 = 28335731743
BaseRepresentation
bin10000001000111111…
…00111101100000000
3211100220100111111000
420010133213230000
5120221311114410
63551504052000
7424510053000
oct100437475400
924326314430
108665332480
113747399602
12181a004000
13a81334b8c
145c2bba000
1535ab20dc0
hex2047e7b00

8665332480 has 1152 divisors, whose sum is σ = 38852352000. Its totient is φ = 1820786688.

The previous prime is 8665332461. The next prime is 8665332499. The reversal of 8665332480 is 842335668.

It is a happy number.

8665332480 is a `hidden beast` number, since 86 + 65 + 3 + 32 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (8665332461) and next prime (8665332499).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201519339 + ... + 201519381.

It is an arithmetic number, because the mean of its divisors is an integer number (33726000).

Almost surely, 28665332480 is an apocalyptic number.

8665332480 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 8665332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426176000).

8665332480 is an abundant number, since it is smaller than the sum of its proper divisors (30187019520).

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

8665332480 is a wasteful number, since it uses less digits than its factorization.

8665332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8665332480 is about 93087.7676174480. The cubic root of 8665332480 is about 2053.9746389860.

The spelling of 8665332480 in words is "eight billion, six hundred sixty-five million, three hundred thirty-two thousand, four hundred eighty".