Search a number
-
+
20260623096 = 2333731937389
BaseRepresentation
bin10010110111101000…
…001001001011111000
31221021222221021221000
4102313220021023320
5312443204414341
613150235245000
71315035312000
oct226750111370
957258837830
1020260623096
11865765900a
123b152a9760
131bab69969c
14da2b69000
157d8a9c8b6
hex4b7a092f8

20260623096 has 512 divisors, whose sum is σ = 71136000000. Its totient is φ = 5322143232.

The previous prime is 20260623023. The next prime is 20260623113. The reversal of 20260623096 is 69032606202.

20260623096 is a `hidden beast` number, since 2 + 0 + 26 + 0 + 623 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20260623096.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 52083670 + ... + 52084058.

It is an arithmetic number, because the mean of its divisors is an integer number (138937500).

Almost surely, 220260623096 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 20260623096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35568000000).

20260623096 is an abundant number, since it is smaller than the sum of its proper divisors (50875376904).

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

20260623096 is a wasteful number, since it uses less digits than its factorization.

20260623096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20260623096 in words is "twenty billion, two hundred sixty million, six hundred twenty-three thousand, ninety-six".