Search a number
-
+
20425303360440 = 233251113687376847
BaseRepresentation
bin1001010010011101000101…
…11100111000001110111000
32200022122021111202202202100
410221032202330320032320
510134122010130013230
6111235131013103400
74205452025651016
oct451164274701670
980278244682670
1020425303360440
116565360295670
12235a688927b60
13b52136c61ab4
14508838bb38b6
15256497dc6660
hex1293a2f383b8

20425303360440 has 192 divisors, whose sum is σ = 72422467752960. Its totient is φ = 4951213781760.

The previous prime is 20425303360433. The next prime is 20425303360493. The reversal of 20425303360440 is 4406330352402.

20425303360440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 3 + 0 + 3 + 3 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20425303360395 and 20425303360404.

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, 54012097 + ... + 54388943.

It is an arithmetic number, because the mean of its divisors is an integer number (377200352880).

Almost surely, 220425303360440 is an apocalyptic number.

20425303360440 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 20425303360440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211233876480).

20425303360440 is an abundant number, since it is smaller than the sum of its proper divisors (51997164392520).

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

20425303360440 is a wasteful number, since it uses less digits than its factorization.

20425303360440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390562 (or 390555 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 20425303360440 in words is "twenty trillion, four hundred twenty-five billion, three hundred three million, three hundred sixty thousand, four hundred forty".