Search a number
-
+
20444537486160 = 243654147181919
BaseRepresentation
bin1001010011000000111010…
…11001001111101101010000
32200101110220222011121000000
410221200131121033231100
510134430403044024120
6111252031343130000
74210032461222214
oct451403531175520
980343828147000
1020444537486160
116572530471a37
1223623562a3900
13b53bb0a74688
14509741494944
15256c217ab990
hex12981d64fb50

20444537486160 has 560 divisors, whose sum is σ = 74559687874560. Its totient is φ = 5205707274240.

The previous prime is 20444537486081. The next prime is 20444537486179. The reversal of 20444537486160 is 6168473544402.

20444537486160 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 537 + 48 + 6 + 1 + 60 = 666.

It is a super-2 number, since 2×204445374861602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20444537486097 and 20444537486106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 112291681 + ... + 112473599.

It is an arithmetic number, because the mean of its divisors is an integer number (133142299776).

Almost surely, 220444537486160 is an apocalyptic number.

20444537486160 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 20444537486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37279843937280).

20444537486160 is an abundant number, since it is smaller than the sum of its proper divisors (54115150388400).

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

20444537486160 is a wasteful number, since it uses less digits than its factorization.

20444537486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182038 (or 182017 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 20444537486160 in words is "twenty trillion, four hundred forty-four billion, five hundred thirty-seven million, four hundred eighty-six thousand, one hundred sixty".