Search a number
-
+
23759756164 = 2237220832
BaseRepresentation
bin10110001000001100…
…010001101110000100
32021022212011200010001
4112020030101232010
5342124444144124
614525354011044
71500534411064
oct261014215604
967285150101
1023759756164
11a092843521
124731116a84
1323185c1521
14121577d3a4
15940d87b44
hex588311b84

23759756164 has 27 divisors (see below), whose sum is σ = 42754243077. Its totient is φ = 11553251184.

The previous prime is 23759756159. The next prime is 23759756183. The reversal of 23759756164 is 46165795732.

It is a happy number.

The square root of 23759756164 is 154142.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21260556100 + 2499200064 = 145810^2 + 49992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11405467 + ... + 11407549.

Almost surely, 223759756164 is an apocalyptic number.

23759756164 is the 154142-nd square number.

It is an amenable number.

23759756164 is a deficient number, since it is larger than the sum of its proper divisors (18994486913).

23759756164 is an frugal number, since it uses more digits than its factorization.

23759756164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 2122 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 55.

It can be divided in two parts, 237597 and 56164, that added together give a triangular number (293761 = T766).

The spelling of 23759756164 in words is "twenty-three billion, seven hundred fifty-nine million, seven hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 37 74 148 1369 2083 2738 4166 5476 8332 77071 154142 308284 2851627 4338889 5703254 8677778 11406508 17355556 160538893 321077786 642155572 5939939041 11879878082 23759756164