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81827182746 = 2334729320431
BaseRepresentation
bin100110000110101000…
…1111011100010011010
321211012200021120112000
41030031101323202122
52320040224321441
6101331344301430
75624516402001
oct1141521734232
9254180246460
1081827182746
1131780347571
1213a37911876
13794085173a
143d636c9c38
1521ddae62b6
hex130d47b89a

81827182746 has 32 divisors (see below), whose sum is σ = 181877203200. Its totient is φ = 27269874720.

The previous prime is 81827182741. The next prime is 81827182769. The reversal of 81827182746 is 64728172818.

It is a super-2 number, since 2×818271827462 (a number of 23 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 = 81827182692 and 81827182701.

It is not an unprimeable number, because it can be changed into a prime (81827182741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95151 + ... + 415581.

It is an arithmetic number, because the mean of its divisors is an integer number (5683662600).

Almost surely, 281827182746 is an apocalyptic number.

81827182746 is an abundant number, since it is smaller than the sum of its proper divisors (100050020454).

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

81827182746 is a wasteful number, since it uses less digits than its factorization.

81827182746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325171 (or 325165 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 81827182746 in words is "eighty-one billion, eight hundred twenty-seven million, one hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 4729 9458 14187 28374 42561 85122 127683 255366 320431 640862 961293 1922586 2883879 5767758 8651637 17303274 1515318199 3030636398 4545954597 9091909194 13637863791 27275727582 40913591373 81827182746