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20844323136 = 2633713711867
BaseRepresentation
bin10011011010011010…
…110010000101000000
31222210200021022212000
4103122122302011000
5320142121320021
613324210104000
71335353552250
oct233232620500
958720238760
1020844323136
11892709353a
12405887b000
131c725a9020
14101a4ab960
1581ee4ab26
hex4da6b2140

20844323136 has 448 divisors, whose sum is σ = 76522844160. Its totient is φ = 5417072640.

The previous prime is 20844323131. The next prime is 20844323147. The reversal of 20844323136 is 63132344802.

20844323136 is a `hidden beast` number, since 208 + 4 + 432 + 3 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 20844323136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20844323131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11163675 + ... + 11165541.

It is an arithmetic number, because the mean of its divisors is an integer number (170809920).

Almost surely, 220844323136 is an apocalyptic number.

20844323136 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 20844323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38261422080).

20844323136 is an abundant number, since it is smaller than the sum of its proper divisors (55678521024).

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

20844323136 is a wasteful number, since it uses less digits than its factorization.

20844323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 20844323136 its reverse (63132344802), we get a palindrome (83976667938).

The spelling of 20844323136 in words is "twenty billion, eight hundred forty-four million, three hundred twenty-three thousand, one hundred thirty-six".