Search a number
-
+
20920604583060 = 2233572131928311311
BaseRepresentation
bin1001100000110111101010…
…01101000110010010010100
32202001222201220101212012000
410300123311031012102110
510220230344233124220
6112254443145155300
74256315040614100
oct460336515062224
982058656355160
1020920604583060
116736418985076
12241a67818bb30
13b89a5c789410
145247c3d46900
152642d6254390
hex1306f5346494

20920604583060 has 1152 divisors, whose sum is σ = 86139015782400. Its totient is φ = 4166556226560.

The previous prime is 20920604583049. The next prime is 20920604583077. The reversal of 20920604583060 is 6038540602902.

20920604583060 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 0 + 6 + 0 + 4 + 583 + 0 + 60 = 666.

It is a super-2 number, since 2×209206045830602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20920604582997 and 20920604583015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1849574805 + ... + 1849586115.

It is an arithmetic number, because the mean of its divisors is an integer number (74773451200).

Almost surely, 220920604583060 is an apocalyptic number.

20920604583060 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 20920604583060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43069507891200).

20920604583060 is an abundant number, since it is smaller than the sum of its proper divisors (65218411199340).

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

20920604583060 is a wasteful number, since it uses less digits than its factorization.

20920604583060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11658 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20920604583060 in words is "twenty trillion, nine hundred twenty billion, six hundred four million, five hundred eighty-three thousand, sixty".