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3112898976 = 25321129311093
BaseRepresentation
bin1011100110001011…
…0001000110100000
322000221110122121200
42321202301012200
522333400231401
61232520121200
7140066130135
oct27142610640
98027418550
103112898976
111358172090
1272a606200
133a7bc3275
142175d458c
15133445686
hexb98b11a0

3112898976 has 288 divisors, whose sum is σ = 10321758720. Its totient is φ = 880588800.

The previous prime is 3112898939. The next prime is 3112898983. The reversal of 3112898976 is 6798982113.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847486 + ... + 2848578.

It is an arithmetic number, because the mean of its divisors is an integer number (35839440).

Almost surely, 23112898976 is an apocalyptic number.

3112898976 is a gapful number since it is divisible by the number (36) 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 3112898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160879360).

3112898976 is an abundant number, since it is smaller than the sum of its proper divisors (7208859744).

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

3112898976 is a wasteful number, since it uses less digits than its factorization.

3112898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 3112898976 is about 55793.3596048849. The cubic root of 3112898976 is about 1460.1193021920.

The spelling of 3112898976 in words is "three billion, one hundred twelve million, eight hundred ninety-eight thousand, nine hundred seventy-six".