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20383114752 = 293471113491
BaseRepresentation
bin10010111110111011…
…011010011000000000
31221121112102111220000
4102332323122120000
5313221034133002
613210332520000
71321053421350
oct227673323000
957545374800
1020383114752
11870a811890
123b4a320000
131bcab86760
14db5132b60
157e46e661c
hex4beeda600

20383114752 has 800 divisors, whose sum is σ = 81851261184. Its totient is φ = 4877107200.

The previous prime is 20383114721. The next prime is 20383114793. The reversal of 20383114752 is 25741138302.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41513227 + ... + 41513717.

Almost surely, 220383114752 is an apocalyptic number.

20383114752 is a gapful number since it is divisible by the number (22) 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 20383114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40925630592).

20383114752 is an abundant number, since it is smaller than the sum of its proper divisors (61468146432).

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

20383114752 is a wasteful number, since it uses less digits than its factorization.

20383114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20383114752 in words is "twenty billion, three hundred eighty-three million, one hundred fourteen thousand, seven hundred fifty-two".