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997865679360 = 29351123618419
BaseRepresentation
bin11101000010101010110…
…11011110101000000000
310112101122222022200222110
432201111123132220000
5112322112103214420
62042225124335320
7132044020216614
oct16412533365000
93471588280873
10997865679360
11355213186240
12141487244540
1373138052214
1436422bc5344
151ae541beee0
hexe8556dea00

997865679360 has 640 divisors, whose sum is σ = 3691332311040. Its totient is φ = 227568844800.

The previous prime is 997865679359. The next prime is 997865679361. The reversal of 997865679360 is 63976568799.

It is an interprime number because it is at equal distance from previous prime (997865679359) and next prime (997865679361).

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (997865679361) 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, 118521231 + ... + 118529649.

It is an arithmetic number, because the mean of its divisors is an integer number (5767706736).

Almost surely, 2997865679360 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 997865679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845666155520).

997865679360 is an abundant number, since it is smaller than the sum of its proper divisors (2693466631680).

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

997865679360 is a wasteful number, since it uses less digits than its factorization.

997865679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 75.

The spelling of 997865679360 in words is "nine hundred ninety-seven billion, eight hundred sixty-five million, six hundred seventy-nine thousand, three hundred sixty".