Search a number
-
+
964545909601 = 10128145977393
BaseRepresentation
bin11100000100100110110…
…10101001001101100001
310102012122212022000121211
432002103122221031201
5111300342223101401
62015034542150121
7126454226646001
oct16022332511541
93365585260554
10964545909601
1134207502503a
12136b28582341
136cc57c75421
14349818d6001
151a153dda951
hexe0936a9361

964545909601 has 16 divisors (see below), whose sum is σ = 977907311568. Its totient is φ = 951261696000.

The previous prime is 964545909583. The next prime is 964545909671. The reversal of 964545909601 is 106909545469.

It can be written as a sum of positive squares in 8 ways, for example, as 3408808225 + 961137101376 = 58385^2 + 980376^2 .

It is a cyclic number.

It is not a de Polignac number, because 964545909601 - 27 = 964545909473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964545909671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130463761 + ... + 130471153.

It is an arithmetic number, because the mean of its divisors is an integer number (61119206973).

Almost surely, 2964545909601 is an apocalyptic number.

It is an amenable number.

964545909601 is a deficient number, since it is larger than the sum of its proper divisors (13361401967).

964545909601 is a wasteful number, since it uses less digits than its factorization.

964545909601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372.

The product of its (nonzero) digits is 10497600, while the sum is 58.

The spelling of 964545909601 in words is "nine hundred sixty-four billion, five hundred forty-five million, nine hundred nine thousand, six hundred one".

Divisors: 1 101 281 4597 7393 28381 464297 746693 1291757 2077433 33985621 130467457 209820733 3432547721 9549959501 964545909601