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21283663050 = 23252133638233
BaseRepresentation
bin10011110100100110…
…101110110011001010
32000221021222002220200
4103310212232303022
5322042104204200
613435542433030
71352300102526
oct236446566312
960837862820
1021283663050
119032089081
12415ba32776
132012612880
14105c992d86
158487d0800
hex4f49aecca

21283663050 has 72 divisors (see below), whose sum is σ = 61580748684. Its totient is φ = 5239054080.

The previous prime is 21283663033. The next prime is 21283663057. The reversal of 21283663050 is 5036638212.

It is a happy number.

21283663050 is a `hidden beast` number, since 2 + 12 + 8 + 3 + 6 + 630 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5805068481 + 15478594569 = 76191^2 + 124413^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21283662996 and 21283663014.

It is not an unprimeable number, because it can be changed into a prime (21283663057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1813267 + ... + 1824966.

Almost surely, 221283663050 is an apocalyptic number.

21283663050 is an abundant number, since it is smaller than the sum of its proper divisors (40297085634).

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

21283663050 is a wasteful number, since it uses less digits than its factorization.

21283663050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638264 (or 3638256 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21283663050 in words is "twenty-one billion, two hundred eighty-three million, six hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 3638233 7276466 10914699 18191165 21829398 32744097 36382330 47297029 54573495 65488194 90955825 94594058 109146990 141891087 163720485 181911650 236485145 272867475 283782174 327440970 425673261 472970290 545734950 709455435 818602425 851346522 1182425725 1418910870 1637204850 2128366305 2364851450 3547277175 4256732610 7094554350 10641831525 21283663050