Search a number
-
+
20195786688 = 26372112113157
BaseRepresentation
bin10010110011110000…
…110011111111000000
31221010110221021002120
4102303300303333000
5312330110133223
613140001444240
71313320232400
oct226360637700
957113837076
1020195786688
118623aa4500
123ab7640680
131b9b11824c
14d982cc800
157d3041be3
hex4b3c33fc0

20195786688 has 504 divisors, whose sum is σ = 69366877776. Its totient is φ = 5166120960.

The previous prime is 20195786669. The next prime is 20195786693. The reversal of 20195786688 is 88668759102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128635506 + ... + 128635662.

It is an arithmetic number, because the mean of its divisors is an integer number (137632694).

Almost surely, 220195786688 is an apocalyptic number.

20195786688 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 20195786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34683438888).

20195786688 is an abundant number, since it is smaller than the sum of its proper divisors (49171091088).

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

20195786688 is a wasteful number, since it uses less digits than its factorization.

20195786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 20195786688 in words is "twenty billion, one hundred ninety-five million, seven hundred eighty-six thousand, six hundred eighty-eight".