Search a number
-
+
21327927495120 = 2433523243434081
BaseRepresentation
bin1001101100101110010111…
…00010101100100111010000
32210111221002221022201001000
410312113023202230213100
510243414043414320440
6113205525320542000
74330614632342001
oct466271342544720
983457087281030
1021327927495120
11688313a064704
1224855b3921900
13bb92a42911cc
1453a3c48c11a8
1526ebc599e730
hex1365cb8ac9d0

21327927495120 has 480 divisors, whose sum is σ = 78581899186560. Its totient is φ = 5313639260160.

The previous prime is 21327927495109. The next prime is 21327927495157. The reversal of 21327927495120 is 2159472972312.

21327927495120 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 9 + 27 + 495 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48916480 + ... + 49350560.

It is an arithmetic number, because the mean of its divisors is an integer number (163712289972).

Almost surely, 221327927495120 is an apocalyptic number.

21327927495120 is a gapful number since it is divisible by the number (20) 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 21327927495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39290949593280).

21327927495120 is an abundant number, since it is smaller than the sum of its proper divisors (57253971691440).

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

21327927495120 is a wasteful number, since it uses less digits than its factorization.

21327927495120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434192 (or 434157 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 21327927495120 in words is "twenty-one trillion, three hundred twenty-seven billion, nine hundred twenty-seven million, four hundred ninety-five thousand, one hundred twenty".