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32938097661 = 35719363961
BaseRepresentation
bin11110101011010000…
…110111101111111101
310011000111211201200000
4132223100313233331
51014424123111121
623044225424513
72244144132150
oct365320675775
9104014751600
1032938097661
1112a72774317
126472a9b139
13314bcb4821
141846739c97
15ccba41526
hex7ab437bfd

32938097661 has 24 divisors (see below), whose sum is σ = 56387857344. Its totient is φ = 18821769120.

The previous prime is 32938097627. The next prime is 32938097663. The reversal of 32938097661 is 16679083923.

It is not a de Polignac number, because 32938097661 - 29 = 32938097149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32938097598 and 32938097607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32938097663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9680280 + ... + 9683681.

It is an arithmetic number, because the mean of its divisors is an integer number (2349494056).

Almost surely, 232938097661 is an apocalyptic number.

It is an amenable number.

32938097661 is a deficient number, since it is larger than the sum of its proper divisors (23449759683).

32938097661 is an equidigital number, since it uses as much as digits as its factorization.

32938097661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19363983 (or 19363971 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 32938097661 in words is "thirty-two billion, nine hundred thirty-eight million, ninety-seven thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 19363961 58091883 135547727 174275649 406643181 522826947 1219929543 1568480841 3659788629 4705442523 10979365887 32938097661