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20056395744 = 2535711194143
BaseRepresentation
bin10010101011011101…
…000100111111100000
31220202202122110200000
4102223131010333200
5312033414130434
613114102100000
71310005356660
oct225335047740
956682573600
1020056395744
118562348a80
123a78a1a600
131b782921b8
14d839a61a0
157c5baab99
hex4ab744fe0

20056395744 has 1152 divisors, whose sum is σ = 81366405120. Its totient is φ = 4702924800.

The previous prime is 20056395743. The next prime is 20056395769. The reversal of 20056395744 is 44759365002.

20056395744 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 639 + 5 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20056395744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20056395743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 466427787 + ... + 466427829.

It is an arithmetic number, because the mean of its divisors is an integer number (70630560).

Almost surely, 220056395744 is an apocalyptic number.

20056395744 is a gapful number since it is divisible by the number (24) 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 20056395744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40683202560).

20056395744 is an abundant number, since it is smaller than the sum of its proper divisors (61310009376).

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

20056395744 is a wasteful number, since it uses less digits than its factorization.

20056395744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 20056395744 in words is "twenty billion, fifty-six million, three hundred ninety-five thousand, seven hundred forty-four".