Search a number
-
+
20379561048 = 233271189103401
BaseRepresentation
bin10010111110101101…
…110110110001011000
31221121021201222010100
4102332231312301120
5313214131423143
613210124415400
71321011260610
oct227655666130
957537658110
1020379561048
118708804940
123b490a7560
131bca211082
14db4889a40
157e42436d3
hex4beb76c58

20379561048 has 384 divisors, whose sum is σ = 70438118400. Its totient is φ = 5170176000.

The previous prime is 20379561043. The next prime is 20379561061. The reversal of 20379561048 is 84016597302.

20379561048 is a `hidden beast` number, since 20 + 3 + 7 + 9 + 5 + 610 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 1427572-1.

It is a junction number, because it is equal to n+sod(n) for n = 20379560994 and 20379561012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20379561043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50821648 + ... + 50822048.

It is an arithmetic number, because the mean of its divisors is an integer number (183432600).

It is a 1-persistent number, because it is pandigital, but 2⋅20379561048 = 40759122096 is not.

Almost surely, 220379561048 is an apocalyptic number.

20379561048 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 20379561048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35219059200).

20379561048 is an abundant number, since it is smaller than the sum of its proper divisors (50058557352).

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

20379561048 is a wasteful number, since it uses less digits than its factorization.

20379561048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20379561048 in words is "twenty billion, three hundred seventy-nine million, five hundred sixty-one thousand, forty-eight".