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32971000014 = 23222322935869
BaseRepresentation
bin11110101101001110…
…011000100011001110
310011002210202100012200
4132231032120203032
51020011034000024
623051402542330
72245023606321
oct365516304316
9104083670180
1032971000014
1112a8a2a7347
126481b079a6
133155a64884
14184ac627b8
15cce8902c9
hex7ad3988ce

32971000014 has 48 divisors (see below), whose sum is σ = 72072873600. Its totient is φ = 10892968128.

The previous prime is 32971000003. The next prime is 32971000019. The reversal of 32971000014 is 41000017923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32971000019) 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 23 ways as a sum of consecutive naturals, for example, 901272 + ... + 937140.

It is an arithmetic number, because the mean of its divisors is an integer number (1501518200).

Almost surely, 232971000014 is an apocalyptic number.

32971000014 is an abundant number, since it is smaller than the sum of its proper divisors (39101873586).

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

32971000014 is a wasteful number, since it uses less digits than its factorization.

32971000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36329 (or 36326 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 32971000014 its reverse (41000017923), we get a palindrome (73971017937).

The spelling of 32971000014 in words is "thirty-two billion, nine hundred seventy-one million, fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 223 229 446 458 669 687 1338 1374 2007 2061 4014 4122 35869 51067 71738 102134 107607 153201 215214 306402 322821 459603 645642 919206 7998787 8214001 15997574 16428002 23996361 24642003 47992722 49284006 71989083 73926009 143978166 147852018 1831722223 3663444446 5495166669 10990333338 16485500007 32971000014