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86531908608 = 210342367677
BaseRepresentation
bin101000010010110110…
…1000010010000000000
322021100120001102010000
41100211231002100000
52404204132033413
6103430251040000
76152225041635
oct1204555022000
9267316042100
1086531908608
1133775008762
121492b440000
1382104785b2
14428c48818c
1523b6b74073
hex1425b42400

86531908608 has 440 divisors, whose sum is σ = 274064674752. Its totient is φ = 27137949696.

The previous prime is 86531908591. The next prime is 86531908643. The reversal of 86531908608 is 80680913568.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127816366 + ... + 127817042.

Almost surely, 286531908608 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 86531908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137032337376).

86531908608 is an abundant number, since it is smaller than the sum of its proper divisors (187532766144).

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

86531908608 is a wasteful number, since it uses less digits than its factorization.

86531908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86531908608 in words is "eighty-six billion, five hundred thirty-one million, nine hundred eight thousand, six hundred eight".