Search a number
-
+
20601245520 = 24325192396301
BaseRepresentation
bin10011001011111011…
…100000111101010000
31222011201212201001100
4103023323200331100
5314142404324040
613244124104400
71326342461202
oct231373407520
958151781040
1020601245520
118811958749
123bab395100
131c3411b40b
14dd60b4772
15808932b30
hex4cbee0f50

20601245520 has 240 divisors, whose sum is σ = 73143532800. Its totient is φ = 5181926400.

The previous prime is 20601245459. The next prime is 20601245537. The reversal of 20601245520 is 2554210602.

20601245520 is a `hidden beast` number, since 2 + 0 + 601 + 2 + 4 + 5 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×206012455202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3266370 + ... + 3272670.

It is an arithmetic number, because the mean of its divisors is an integer number (304764720).

Almost surely, 220601245520 is an apocalyptic number.

20601245520 is a gapful number since it is divisible by the number (20) 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 20601245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36571766400).

20601245520 is an abundant number, since it is smaller than the sum of its proper divisors (52542287280).

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

20601245520 is a wasteful number, since it uses less digits than its factorization.

20601245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20601245520 in words is "twenty billion, six hundred one million, two hundred forty-five thousand, five hundred twenty".