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86280899670 = 232575919711783
BaseRepresentation
bin101000001011010111…
…1100000110001010110
322020201001201211120200
41100112233200301112
52403200402242140
6103345323041330
76143056355310
oct1202657406126
9266631654520
1086280899670
1133656355a59
121487b370246
1381a04718b4
144266dc87b0
15239eae1030
hex1416be0c56

86280899670 has 192 divisors, whose sum is σ = 262068618240. Its totient is φ = 19287039744.

The previous prime is 86280899647. The next prime is 86280899687. The reversal of 86280899670 is 7699808268.

It is a super-2 number, since 2×862808996702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86280899598 and 86280899607.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7316599 + ... + 7328381.

It is an arithmetic number, because the mean of its divisors is an integer number (1364940720).

Almost surely, 286280899670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86280899670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131034309120).

86280899670 is an abundant number, since it is smaller than the sum of its proper divisors (175787718570).

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

86280899670 is a wasteful number, since it uses less digits than its factorization.

86280899670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 86280899670 in words is "eighty-six billion, two hundred eighty million, eight hundred ninety-nine thousand, six hundred seventy".