Search a number
-
+
20979640332 = 22337712691453
BaseRepresentation
bin10011100010011110…
…111110100000001100
32000011002220011011000
4103202132332200030
5320431241442312
613345442300300
71341616000110
oct234236764014
960132804130
1020979640332
118996507332
124096057690
131c94636a81
141030453740
1582bc79adc
hex4e27be80c

20979640332 has 192 divisors, whose sum is σ = 63315302400. Its totient is φ = 5883736320.

The previous prime is 20979640307. The next prime is 20979640379. The reversal of 20979640332 is 23304697902.

20979640332 is a `hidden beast` number, since 209 + 7 + 9 + 6 + 403 + 32 = 666.

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 63 ways as a sum of consecutive naturals, for example, 14438118 + ... + 14439570.

It is an arithmetic number, because the mean of its divisors is an integer number (329767200).

Almost surely, 220979640332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20979640332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657651200).

20979640332 is an abundant number, since it is smaller than the sum of its proper divisors (42335662068).

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

20979640332 is a wasteful number, since it uses less digits than its factorization.

20979640332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20979640332 in words is "twenty billion, nine hundred seventy-nine million, six hundred forty thousand, three hundred thirty-two".