Search a number
-
+
20156138496 = 21036133167
BaseRepresentation
bin10010110001011001…
…100100010000000000
31221000201022221000000
4102301121210100000
5312234432412441
613132024000000
71312326231114
oct226131442000
957021287000
1020156138496
1186036841aa
123aa6300000
131b92b45890
14d92d2b744
157ce80e2b6
hex4b1664400

20156138496 has 616 divisors, whose sum is σ = 68159270144. Its totient is φ = 5912248320.

The previous prime is 20156138449. The next prime is 20156138503. The reversal of 20156138496 is 69483165102.

20156138496 is a `hidden beast` number, since 2 + 0 + 1 + 561 + 3 + 84 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 300837855 + ... + 300837921.

Almost surely, 220156138496 is an apocalyptic number.

20156138496 is a gapful number since it is divisible by the number (26) 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 20156138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34079635072).

20156138496 is an abundant number, since it is smaller than the sum of its proper divisors (48003131648).

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

20156138496 is an equidigital number, since it uses as much as digits as its factorization.

20156138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20156138496 in words is "twenty billion, one hundred fifty-six million, one hundred thirty-eight thousand, four hundred ninety-six".