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41205428748 = 223211372727919
BaseRepresentation
bin100110011000000010…
…001111001000001100
310221100200021122212200
4212120002033020030
51133342042204443
630532435201500
72656052236221
oct463002171014
9127320248780
1041205428748
1116525432550
127b9b746290
133b68a27a03
141dcc711948
151112745dd3
hex99808f20c

41205428748 has 72 divisors (see below), whose sum is σ = 113661649920. Its totient is φ = 12482696160.

The previous prime is 41205428731. The next prime is 41205428791. The reversal of 41205428748 is 84782450214.

41205428748 is a `hidden beast` number, since 4 + 1 + 20 + 542 + 87 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461933 + ... + 1489851.

Almost surely, 241205428748 is an apocalyptic number.

It is an amenable number.

41205428748 is an abundant number, since it is smaller than the sum of its proper divisors (72456221172).

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

41205428748 is a wasteful number, since it uses less digits than its factorization.

41205428748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31667 (or 31662 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 41205428748 in words is "forty-one billion, two hundred five million, four hundred twenty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3727 7454 11181 14908 22362 27919 33543 40997 44724 55838 67086 81994 83757 111676 122991 134172 163988 167514 245982 251271 307109 335028 368973 491964 502542 614218 737946 921327 1005084 1228436 1475892 1842654 2763981 3685308 5527962 11055924 104054113 208108226 312162339 416216452 624324678 936487017 1144595243 1248649356 1872974034 2289190486 3433785729 3745948068 4578380972 6867571458 10301357187 13735142916 20602714374 41205428748