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20147871744 = 213337211132
BaseRepresentation
bin10010110000111010…
…000010000000000000
31221000010202221011000
4102300322002000000
5312230323343434
613131130452000
71312166040600
oct226072020000
957003687130
1020147871744
1185a9a48280
123aa3594000
131b9120cc00
14d91bb8c00
157cdc29b99
hex4b0e82000

20147871744 has 1008 divisors, whose sum is σ = 82027715040. Its totient is φ = 4830658560.

The previous prime is 20147871673. The next prime is 20147871749. The reversal of 20147871744 is 44717874102.

20147871744 is a `hidden beast` number, since 2 + 0 + 1 + 478 + 7 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 20147871744.

It is not an unprimeable number, because it can be changed into a prime (20147871749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1549836282 + ... + 1549836294.

Almost surely, 220147871744 is an apocalyptic number.

20147871744 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 20147871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41013857520).

20147871744 is an abundant number, since it is smaller than the sum of its proper divisors (61879843296).

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

20147871744 is a wasteful number, since it uses less digits than its factorization.

20147871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 20147871744 in words is "twenty billion, one hundred forty-seven million, eight hundred seventy-one thousand, seven hundred forty-four".