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32606661138640 = 245407583264233
BaseRepresentation
bin1110110100111110101000…
…11101000101100011010000
311021110011111021111120022221
413122133110131011203100
513233211420222414030
6153203143205510424
76603516313445461
oct732372435054320
9137404437446287
1032606661138640
11a431453182496
1237a7480a12414
131526a44680774
1480a256a2cd68
153b8292804e7a
hex1da7d47458d0

32606661138640 has 20 divisors (see below), whose sum is σ = 75810487147524. Its totient is φ = 13042664455424.

The previous prime is 32606661138631. The next prime is 32606661138671. The reversal of 32606661138640 is 4683116660623.

32606661138640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19981686727744 + 12624974410896 = 4470088^2 + 3553164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×326066611386402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 203791632037 + ... + 203791632196.

Almost surely, 232606661138640 is an apocalyptic number.

It is an amenable number.

32606661138640 is an abundant number, since it is smaller than the sum of its proper divisors (43203826008884).

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

32606661138640 is a wasteful number, since it uses less digits than its factorization.

32606661138640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407583264246 (or 407583264240 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 32606661138640 in words is "thirty-two trillion, six hundred six billion, six hundred sixty-one million, one hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 407583264233 815166528466 1630333056932 2037916321165 3260666113864 4075832642330 6521332227728 8151665284660 16303330569320 32606661138640