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32961445981 = 2331124937013
BaseRepresentation
bin11110101100101001…
…111100000001011101
310011002010202221112121
4132230221330001131
51020001112232411
623050422102541
72244546445102
oct365451740135
9104063687477
1032961445981
1112a84971252
12647a87aa51
133153a9acb9
141849896aa9
15ccdb04571
hex7aca7c05d

32961445981 has 16 divisors (see below), whose sum is σ = 35533440000. Its totient is φ = 30486044160.

The previous prime is 32961445973. The next prime is 32961446003. The reversal of 32961445981 is 18954416923.

It is a cyclic number.

It is not a de Polignac number, because 32961445981 - 23 = 32961445973 is a prime.

It is a super-2 number, since 2×329614459812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32962445981) 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 15 ways as a sum of consecutive naturals, for example, 872031 + ... + 909043.

It is an arithmetic number, because the mean of its divisors is an integer number (2220840000).

Almost surely, 232961445981 is an apocalyptic number.

32961445981 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32961445981 is a deficient number, since it is larger than the sum of its proper divisors (2571994019).

32961445981 is a wasteful number, since it uses less digits than its factorization.

32961445981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38316.

The product of its digits is 1866240, while the sum is 52.

The spelling of 32961445981 in words is "thirty-two billion, nine hundred sixty-one million, four hundred forty-five thousand, nine hundred eighty-one".

Divisors: 1 23 31 713 1249 28727 37013 38719 851299 890537 1147403 26390269 46229237 1063272451 1433106347 32961445981