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20344836096 = 21234135389
BaseRepresentation
bin10010111100101001…
…011001000000000000
31221111212101202110000
4102330221121000000
5313131234223341
613202444240000
71320110152644
oct227451310000
957455352400
1020344836096
1186a0147532
123b39540000
131bc2c73570
14db000ac24
157e11848b6
hex4bca59000

20344836096 has 520 divisors, whose sum is σ = 67435192440. Its totient is φ = 6072827904.

The previous prime is 20344836073. The next prime is 20344836107. The reversal of 20344836096 is 69063844302.

20344836096 is a `hidden beast` number, since 2 + 0 + 34 + 4 + 8 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 19914854400 = 20736^2 + 141120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228593620 + ... + 228593708.

Almost surely, 220344836096 is an apocalyptic number.

20344836096 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 20344836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33717596220).

20344836096 is an abundant number, since it is smaller than the sum of its proper divisors (47090356344).

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

20344836096 is an equidigital number, since it uses as much as digits as its factorization.

20344836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20344836096 in words is "twenty billion, three hundred forty-four million, eight hundred thirty-six thousand, ninety-six".