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1086856848 = 2432721121967
BaseRepresentation
bin100000011001000…
…0001111010010000
32210202010001022100
41000302001322100
54211213404343
6255503040400
735635062600
oct10062017220
92722101270
101086856848
11508558700
12263ba0100
1314422b57c
14a44bac00
156563b9d3
hex40c81e90

1086856848 has 540 divisors, whose sum is σ = 4154994480. Its totient is φ = 263450880.

The previous prime is 1086856843. The next prime is 1086856861. The reversal of 1086856848 is 8486586801.

1086856848 is a `hidden beast` number, since 10 + 8 + 68 + 568 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1086856794 and 1086856803.

It is not an unprimeable number, because it can be changed into a prime (1086856843) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16221711 + ... + 16221777.

Almost surely, 21086856848 is an apocalyptic number.

1086856848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086856848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077497240).

1086856848 is an abundant number, since it is smaller than the sum of its proper divisors (3068137632).

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

1086856848 is a wasteful number, since it uses less digits than its factorization.

1086856848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 1086856848 is about 32967.5120080360. The cubic root of 1086856848 is about 1028.1522936469.

The spelling of 1086856848 in words is "one billion, eighty-six million, eight hundred fifty-six thousand, eight hundred forty-eight".