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11701082448 = 2434117271129
BaseRepresentation
bin10101110010111000…
…00101100101010000
31010012110122120120000
422321130011211100
5142430434114243
65213030450000
7562651362666
oct127134054520
933173576500
1011701082448
114a64a57480
122326803900
131146255633
147d004ac36
154873c75d3
hex2b9705950

11701082448 has 200 divisors, whose sum is σ = 37028671680. Its totient is φ = 3537768960.

The previous prime is 11701082441. The next prime is 11701082453. The reversal of 11701082448 is 84428010711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701082441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10363548 + ... + 10364676.

Almost surely, 211701082448 is an apocalyptic number.

11701082448 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 11701082448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514335840).

11701082448 is an abundant number, since it is smaller than the sum of its proper divisors (25327589232).

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

11701082448 is a wasteful number, since it uses less digits than its factorization.

11701082448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11701082448 in words is "eleven billion, seven hundred one million, eighty-two thousand, four hundred forty-eight".