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31664146501 = 13171011418581
BaseRepresentation
bin11101011111010101…
…001000100001000101
310000201201200022012201
4131133111020201011
51004322010142001
622314000314501
72200444542631
oct353725104105
9100651608181
1031664146501
1112479648a19
126178312a31
132ca809a280
141765479dc1
15c54c99501
hex75f548845

31664146501 has 16 divisors (see below), whose sum is σ = 36463231728. Its totient is φ = 27236736000.

The previous prime is 31664146379. The next prime is 31664146517. The reversal of 31664146501 is 10564146613.

It can be written as a sum of positive squares in 8 ways, for example, as 10982830401 + 20681316100 = 104799^2 + 143810^2 .

It is a cyclic number.

It is not a de Polignac number, because 31664146501 - 223 = 31655757893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31664146541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686970 + ... + 731611.

It is an arithmetic number, because the mean of its divisors is an integer number (2278951983).

Almost surely, 231664146501 is an apocalyptic number.

It is an amenable number.

31664146501 is a deficient number, since it is larger than the sum of its proper divisors (4799085227).

31664146501 is a wasteful number, since it uses less digits than its factorization.

31664146501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418712.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 31664146501 in words is "thirty-one billion, six hundred sixty-four million, one hundred forty-six thousand, five hundred one".

Divisors: 1 13 17 101 221 1313 1717 22321 1418581 18441553 24115877 143276681 313506401 1862596853 2435703577 31664146501