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11383200090024 = 2337312137514649
BaseRepresentation
bin1010010110100101101110…
…0110010000011110101000
31111022020000210020012022020
42211221123212100132220
52443000243210340044
640113211523224440
72253260211204060
oct245513346203650
944266023205266
1011383200090024
113699651767294
12133a182818120
1364757b358259
142b4d424623a0
1514b183251a19
hexa5a5b9907a8

11383200090024 has 192 divisors, whose sum is σ = 33851783088000. Its totient is φ = 3124448593920.

The previous prime is 11383200090007. The next prime is 11383200090029. The reversal of 11383200090024 is 42009000238311.

It is not an unprimeable number, because it can be changed into a prime (11383200090029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21861052 + ... + 22375700.

It is an arithmetic number, because the mean of its divisors is an integer number (176311370250).

Almost surely, 211383200090024 is an apocalyptic number.

11383200090024 is a gapful number since it is divisible by the number (14) 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 11383200090024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925891544000).

11383200090024 is an abundant number, since it is smaller than the sum of its proper divisors (22468582997976).

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

11383200090024 is a wasteful number, since it uses less digits than its factorization.

11383200090024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514864 (or 514829 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11383200090024 in words is "eleven trillion, three hundred eighty-three billion, two hundred million, ninety thousand, twenty-four".