Search a number
-
+
32960950912657 = 157992772114713
BaseRepresentation
bin1110111111010010100011…
…10001010100011010010001
311022201000222100012212101001
413133221101301110122101
513310013011413201112
6154034015105142001
76641231043026515
oct737512161243221
9138630870185331
1032960950912657
11a55872a555519
12384407792a901
131551286bcabc1
1481d4660c6145
153c25cb26cc57
hex1dfa51c54691

32960950912657 has 8 divisors (see below), whose sum is σ = 33171243085736. Its totient is φ = 32750663167872.

The previous prime is 32960950912649. The next prime is 32960950912709. The reversal of 32960950912657 is 75621905906923.

It can be written as a sum of positive squares in 4 ways, for example, as 78077771776 + 32882873140881 = 279424^2 + 5734359^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32960950912657 - 23 = 32960950912649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32960950919657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14529133 + ... + 16643845.

It is an arithmetic number, because the mean of its divisors is an integer number (4146405385717).

Almost surely, 232960950912657 is an apocalyptic number.

It is an amenable number.

32960950912657 is a deficient number, since it is larger than the sum of its proper divisors (210292173079).

32960950912657 is a wasteful number, since it uses less digits than its factorization.

32960950912657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214147.

The product of its (nonzero) digits is 55112400, while the sum is 64.

The spelling of 32960950912657 in words is "thirty-two trillion, nine hundred sixty billion, nine hundred fifty million, nine hundred twelve thousand, six hundred fifty-seven".

Divisors: 1 157 99277 2114713 15586489 332009941 209942362501 32960950912657