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20247408082944 = 2163872312
BaseRepresentation
bin1001001101010001101111…
…00100010000000000000000
32122200122002200102100000000
410212220313210100000000
510123213142432123234
6111021310400000000
74156553435024100
oct446506744200000
978618080370000
1020247408082944
1164a6972017679
122330100000000
13b3b42639caa3
144ddda0733200
15251a35369899
hex126a37910000

20247408082944 has 1377 divisors, whose sum is σ = 73007915512311. Its totient is φ = 5598361681920.

The previous prime is 20247408082933. The next prime is 20247408082963. The reversal of 20247408082944 is 44928080474202.

The square root of 20247408082944 is 4499712.

It is a perfect power (a square), and thus also a powerful number.

20247408082944 is a `hidden beast` number, since 2 + 0 + 2 + 474 + 0 + 8 + 0 + 82 + 94 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 653142196209 + ... + 653142196239.

Almost surely, 220247408082944 is an apocalyptic number.

20247408082944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20247408082944 is the 4499712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20247408082944

20247408082944 is an abundant number, since it is smaller than the sum of its proper divisors (52760507429367).

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

20247408082944 is an frugal number, since it uses more digits than its factorization.

20247408082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 20247408082944 in words is "twenty trillion, two hundred forty-seven billion, four hundred eight million, eighty-two thousand, nine hundred forty-four".