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2063331144900 = 223252478812
BaseRepresentation
bin11110000001101000000…
…111101011010011000100
321022020211002120100110100
4132001220013223103010
5232301200233114100
64215514203124100
7302033161232334
oct36015007532304
97266732510410
102063331144900
11726065705363
12293a79513630
1311c7571899cc
1471c199090c4
1538a12dd6400
hex1e0681eb4c4

2063331144900 has 81 divisors (see below), whose sum is σ = 6467531919303. Its totient is φ = 550210147200.

The previous prime is 2063331144887. The next prime is 2063331144923. The reversal of 2063331144900 is 94411333602.

The square root of 2063331144900 is 1436430.

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

2063331144900 is a `hidden beast` number, since 2 + 0 + 633 + 3 + 1 + 14 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206913994884 + 1856417150016 = 454878^2 + 1362504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43068960 + ... + 43116840.

Almost surely, 22063331144900 is an apocalyptic number.

2063331144900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2063331144900 is the 1436430-th square number.

It is an amenable number.

2063331144900 is an abundant number, since it is smaller than the sum of its proper divisors (4404200774403).

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

2063331144900 is an frugal number, since it uses more digits than its factorization.

2063331144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95782 (or 47891 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 2063331144900 by its sum of digits (36), we get a square (74279921216400 = 86185802).

2063331144900 divided by its sum of digits (36) gives a square (57314754025 = 2394052).

The spelling of 2063331144900 in words is "two trillion, sixty-three billion, three hundred thirty-one million, one hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 47881 95762 143643 191524 239405 287286 430929 478810 574572 718215 861858 957620 1197025 1436430 1723716 2154645 2394050 2872860 3591075 4309290 4788100 7182150 8618580 10773225 14364300 21546450 43092900 2292590161 4585180322 6877770483 9170360644 11462950805 13755540966 20633311449 22925901610 27511081932 34388852415 41266622898 45851803220 57314754025 68777704830 82533245796 103166557245 114629508050 137555409660 171944262075 206333114490 229259016100 343888524150 412666228980 515832786225 687777048300 1031665572450 2063331144900