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27971884752 = 2437228136497
BaseRepresentation
bin11010000011010000…
…010001011011010000
32200012102000222021120
4122003100101123100
5424241300303002
620503342322240
72010112045260
oct320320213320
980172028246
1027971884752
1110954444029
125507889380
13283a1558c6
1414d4d517a0
15adaa60cbc
hex6834116d0

27971884752 has 80 divisors (see below), whose sum is σ = 82622128512. Its totient is φ = 7988244480.

The previous prime is 27971884741. The next prime is 27971884757. The reversal of 27971884752 is 25748817972.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27971884757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 748168 + ... + 784664.

Almost surely, 227971884752 is an apocalyptic number.

It is an amenable number.

27971884752 is an abundant number, since it is smaller than the sum of its proper divisors (54650243760).

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

27971884752 is a wasteful number, since it uses less digits than its factorization.

27971884752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38796 (or 38790 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 60.

The spelling of 27971884752 in words is "twenty-seven billion, nine hundred seventy-one million, eight hundred eighty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2281 4562 6843 9124 13686 15967 18248 27372 31934 36496 36497 47901 54744 63868 72994 95802 109488 109491 127736 145988 191604 218982 255472 255479 291976 383208 437964 510958 583952 766416 766437 875928 1021916 1532874 1751856 2043832 3065748 4087664 6131496 12262992 83249657 166499314 249748971 332998628 499497942 582747599 665997256 998995884 1165495198 1331994512 1748242797 1997991768 2330990396 3496485594 3995983536 4661980792 6992971188 9323961584 13985942376 27971884752