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8987966924040 = 23325132119101923
BaseRepresentation
bin1000001011001010110010…
…0100110110010100001000
31011211020111212110020022100
42002302230210312110020
52134224324013032130
631041003123553400
71615234125212166
oct202625444662410
934736455406270
108987966924040
112955859016055
121011b17b2b860
1350273bc170c0
1423103c938236
15108be70c5c60
hex82cac936508

8987966924040 has 192 divisors, whose sum is σ = 31606977205440. Its totient is φ = 2201936970240.

The previous prime is 8987966924017. The next prime is 8987966924063. The reversal of 8987966924040 is 404296697898.

8987966924040 is a `hidden beast` number, since 8 + 9 + 8 + 79 + 66 + 92 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8987966924017) and next prime (8987966924063).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8987966924040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3563482 + ... + 5538441.

It is an arithmetic number, because the mean of its divisors is an integer number (164619672945).

Almost surely, 28987966924040 is an apocalyptic number.

It is an amenable number.

8987966924040 is an abundant number, since it is smaller than the sum of its proper divisors (22619010281400).

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

8987966924040 is a wasteful number, since it uses less digits than its factorization.

8987966924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102164 (or 9102157 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 8987966924040 in words is "eight trillion, nine hundred eighty-seven billion, nine hundred sixty-six million, nine hundred twenty-four thousand, forty".