Search a number
-
+
23466315450 = 23521496011747
BaseRepresentation
bin10101110110101100…
…111000111010111010
32020120102000100010110
4111312230320322322
5341024334043300
614440312325150
71460342250564
oct256654707272
966512010113
1023466315450
119a5213a136
12466a9a37b6
13229c87c176
1411c87d6334
15925222550
hex576b38eba

23466315450 has 96 divisors (see below), whose sum is σ = 58718116800. Its totient is φ = 6201792000.

The previous prime is 23466315443. The next prime is 23466315451. The reversal of 23466315450 is 5451366432.

It is a junction number, because it is equal to n+sod(n) for n = 23466315399 and 23466315408.

It is not an unprimeable number, because it can be changed into a prime (23466315451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13431477 + ... + 13433223.

It is an arithmetic number, because the mean of its divisors is an integer number (611647050).

Almost surely, 223466315450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23466315450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359058400).

23466315450 is an abundant number, since it is smaller than the sum of its proper divisors (35251801350).

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

23466315450 is a wasteful number, since it uses less digits than its factorization.

23466315450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 23466315450 in words is "twenty-three billion, four hundred sixty-six million, three hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 601 745 894 1202 1490 1747 1803 2235 3005 3494 3606 3725 4470 5241 6010 7450 8735 9015 10482 11175 15025 17470 18030 22350 26205 30050 43675 45075 52410 87350 89549 90150 131025 179098 260303 262050 268647 447745 520606 537294 780909 895490 1049947 1301515 1343235 1561818 2099894 2238725 2603030 2686470 3149841 3904545 4477450 5249735 6299682 6507575 6716175 7809090 10499470 13015150 13432350 15749205 19522725 26248675 31498410 39045450 52497350 78746025 156442103 157492050 312884206 469326309 782210515 938652618 1564421030 2346631545 3911052575 4693263090 7822105150 11733157725 23466315450