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23313334304 = 25131314191021
BaseRepresentation
bin10101101101100101…
…010100000000100000
32020011202011002110002
4111231211110000200
5340221203144204
614413205355132
71453504033451
oct255545240040
966152132402
1023313334304
119983851137
124627708aa8
132276c78390
1411b2373128
15916aa491e
hex56d954020

23313334304 has 96 divisors (see below), whose sum is σ = 49973837760. Its totient is φ = 10641945600.

The previous prime is 23313334279. The next prime is 23313334321. The reversal of 23313334304 is 40343331332.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 22833314 + ... + 22834334.

It is an arithmetic number, because the mean of its divisors is an integer number (520560810).

Almost surely, 223313334304 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 23313334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986918880).

23313334304 is an abundant number, since it is smaller than the sum of its proper divisors (26660503456).

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

23313334304 is a wasteful number, since it uses less digits than its factorization.

23313334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 23313334304 its reverse (40343331332), we get a palindrome (63656665636).

The spelling of 23313334304 in words is "twenty-three billion, three hundred thirteen million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 416 419 524 838 1021 1048 1676 1703 2042 2096 3352 3406 4084 4192 5447 6704 6812 8168 10894 13273 13408 13624 16336 21788 26546 27248 32672 43576 53092 54496 54889 87152 106184 109778 133751 174304 212368 219556 267502 424736 427799 439112 535004 713557 855598 878224 1070008 1427114 1711196 1738763 1756448 2140016 2854228 3422392 3477526 4280032 5561387 5708456 6844784 6955052 11122774 11416912 13689568 13910104 22245548 22833824 27820208 44491096 55640416 56041669 88982192 112083338 177964384 224166676 448333352 728541697 896666704 1457083394 1793333408 2914166788 5828333576 11656667152 23313334304