Search a number
-
+
23168962968 = 23323353118903
BaseRepresentation
bin10101100100111110…
…100101000110011000
32012210200111021012120
4111210332211012120
5334422223303333
614351011141240
71450101635664
oct254476450630
965720437176
1023168962968
11990a303888
1245a72a4820
13225309a458
14119b1118a4
15909087db3
hex564fa5198

23168962968 has 64 divisors (see below), whose sum is σ = 60612503040. Its totient is φ = 7366216704.

The previous prime is 23168962909. The next prime is 23168962969. The reversal of 23168962968 is 86926986132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23168962969) 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, 135405 + ... + 254307.

It is an arithmetic number, because the mean of its divisors is an integer number (947070360).

Almost surely, 223168962968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23168962968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30306251520).

23168962968 is an abundant number, since it is smaller than the sum of its proper divisors (37443540072).

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

23168962968 is a wasteful number, since it uses less digits than its factorization.

23168962968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119288 (or 119284 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The spelling of 23168962968 in words is "twenty-three billion, one hundred sixty-eight million, nine hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 353 552 706 1059 1412 2118 2824 4236 8119 8472 16238 24357 32476 48714 64952 97428 118903 194856 237806 356709 475612 713418 951224 1426836 2734769 2853672 5469538 8204307 10939076 16408614 21878152 32817228 41972759 65634456 83945518 125918277 167891036 251836554 335782072 503673108 965373457 1007346216 1930746914 2896120371 3861493828 5792240742 7722987656 11584481484 23168962968