Search a number
-
+
20941322688 = 2634111324153
BaseRepresentation
bin10011100000001100…
…110011100111000000
32000001102210102020000
4103200030303213000
5320341434311223
613341553120000
71340642206626
oct234014634700
960042712200
1020941322688
118976915760
124085259000
131c8970bc00
14102931b516
1582870b543
hex4e03339c0

20941322688 has 840 divisors, whose sum is σ = 76535773776. Its totient is φ = 5607014400.

The previous prime is 20941322657. The next prime is 20941322713. The reversal of 20941322688 is 88622314902.

20941322688 is a `hidden beast` number, since 2 + 0 + 9 + 413 + 226 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 395119270 + ... + 395119322.

Almost surely, 220941322688 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 20941322688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38267886888).

20941322688 is an abundant number, since it is smaller than the sum of its proper divisors (55594451088).

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

20941322688 is a wasteful number, since it uses less digits than its factorization.

20941322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20941322688 in words is "twenty billion, nine hundred forty-one million, three hundred twenty-two thousand, six hundred eighty-eight".