Search a number
-
+
9704685664 = 25661458807
BaseRepresentation
bin10010000100111000…
…11100000001100000
3221001100002010000101
421002130130001200
5124333344420124
64242553032144
7462330316132
oct110234340140
927040063011
109704685664
114130050a83
121a6a0b5654
13bb877036b
14680c4d052
153bbec7644
hex24271c060

9704685664 has 24 divisors (see below), whose sum is σ = 19135046448. Its totient is φ = 4844991360.

The previous prime is 9704685649. The next prime is 9704685667. The reversal of 9704685664 is 4665864079.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9704685667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208252 + ... + 250555.

It is an arithmetic number, because the mean of its divisors is an integer number (797293602).

Almost surely, 29704685664 is an apocalyptic number.

It is an amenable number.

9704685664 is a deficient number, since it is larger than the sum of its proper divisors (9430360784).

9704685664 is a wasteful number, since it uses less digits than its factorization.

9704685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459478 (or 459470 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The square root of 9704685664 is about 98512.3630007930. The cubic root of 9704685664 is about 2133.0145816296.

It can be divided in two parts, 97046 and 85664, that added together give a triangular number (182710 = T604).

The spelling of 9704685664 in words is "nine billion, seven hundred four million, six hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 661 1322 2644 5288 10576 21152 458807 917614 1835228 3670456 7340912 14681824 303271427 606542854 1213085708 2426171416 4852342832 9704685664