Search a number
-
+
20021015448 = 23327231613001
BaseRepresentation
bin10010101001010110…
…000111001110011000
31220200022001222000200
4102221112013032120
5312000334443243
613110355502200
71306065552300
oct225126071630
956608058020
1020021015448
118544383265
123a68bb7960
131b70b55305
14d7cdd6600
157c2a1cad3
hex4a9587398

20021015448 has 288 divisors, whose sum is σ = 66200584320. Its totient is φ = 5443200000.

The previous prime is 20021015429. The next prime is 20021015453. The reversal of 20021015448 is 84451012002.

20021015448 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 1 + 5 + 448 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6669948 + ... + 6672948.

It is an arithmetic number, because the mean of its divisors is an integer number (229863140).

Almost surely, 220021015448 is an apocalyptic number.

20021015448 is a gapful number since it is divisible by the number (28) 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 20021015448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33100292160).

20021015448 is an abundant number, since it is smaller than the sum of its proper divisors (46179568872).

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

20021015448 is a wasteful number, since it uses less digits than its factorization.

20021015448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 20021015448 in words is "twenty billion, twenty-one million, fifteen thousand, four hundred forty-eight".