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9287961166680 = 23357317166920899
BaseRepresentation
bin1000011100101000010110…
…1000000100001101011000
31012212220211222112202102220
42013022011220010031120
52204133221024313210
631430455213424040
71646014223205330
oct207120550041530
935786758482386
109287961166680
112a61002a3a7a9
12106009b49b020
13524b0a7ab291
1424177adbc0c0
15111903ee8c70
hex87285a04358

9287961166680 has 256 divisors, whose sum is σ = 31965563520000. Its totient is φ = 2114896324608.

The previous prime is 9287961166669. The next prime is 9287961166691. The reversal of 9287961166680 is 866611697829.

It is an interprime number because it is at equal distance from previous prime (9287961166669) and next prime (9287961166691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444410871 + ... + 444431769.

It is an arithmetic number, because the mean of its divisors is an integer number (124865482500).

Almost surely, 29287961166680 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 9287961166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982781760000).

9287961166680 is an abundant number, since it is smaller than the sum of its proper divisors (22677602353320).

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

9287961166680 is a wasteful number, since it uses less digits than its factorization.

9287961166680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22906 (or 22902 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 9287961166680 in words is "nine trillion, two hundred eighty-seven billion, nine hundred sixty-one million, one hundred sixty-six thousand, six hundred eighty".