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1112686848 = 28337132961
BaseRepresentation
bin100001001010010…
…0100000100000000
32212112201100102000
41002110210010000
54234321434343
6302224424000
736400452660
oct10224440400
92775640360
101112686848
115210a0109
12270778000
131496a34b0
14a7ac21a0
1567a3eed3
hex42524100

1112686848 has 576 divisors, whose sum is σ = 4258060800. Its totient is φ = 278691840.

The previous prime is 1112686831. The next prime is 1112686849. The reversal of 1112686848 is 8486862111.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1112686849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240738 + ... + 18240798.

Almost surely, 21112686848 is an apocalyptic number.

1112686848 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 1112686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129030400).

1112686848 is an abundant number, since it is smaller than the sum of its proper divisors (3145373952).

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

1112686848 is a wasteful number, since it uses less digits than its factorization.

1112686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1112686848 is about 33356.9610126582. The cubic root of 1112686848 is about 1036.2335554689.

The spelling of 1112686848 in words is "one billion, one hundred twelve million, six hundred eighty-six thousand, eight hundred forty-eight".