Search a number
-
+
23465435620 = 22511289108949
BaseRepresentation
bin10101110110101001…
…100010000111100100
32020120100100122020011
4111312221202013210
5341024122414440
614440241420004
71460331624514
oct256651420744
966510318204
1023465435620
119a51699100
12466a63a604
13229c631863
1411c8647844
159250eb9ea
hex576a621e4

23465435620 has 72 divisors (see below), whose sum is σ = 54773523000. Its totient is φ = 8436933120.

The previous prime is 23465435611. The next prime is 23465435627. The reversal of 23465435620 is 2653456432.

It can be written as a sum of positive squares in 4 ways, for example, as 5942559744 + 17522875876 = 77088^2 + 132374^2 .

It is not an unprimeable number, because it can be changed into a prime (23465435627) 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 23 ways as a sum of consecutive naturals, for example, 160906 + ... + 269854.

It is an arithmetic number, because the mean of its divisors is an integer number (760743375).

Almost surely, 223465435620 is an apocalyptic number.

23465435620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23465435620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386761500).

23465435620 is an abundant number, since it is smaller than the sum of its proper divisors (31308087380).

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

23465435620 is a wasteful number, since it uses less digits than its factorization.

23465435620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109069 (or 109056 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 23465435620 in words is "twenty-three billion, four hundred sixty-five million, four hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1210 1780 1958 2420 3916 4895 9790 10769 19580 21538 43076 53845 107690 108949 215380 217898 435796 544745 1089490 1198439 2178980 2396878 4793756 5992195 9696461 11984390 13182829 19392922 23968780 26365658 38785844 48482305 52731316 65914145 96964610 106661071 131828290 193929220 213322142 263656580 426644284 533305355 1066610710 1173271781 2133221420 2346543562 4693087124 5866358905 11732717810 23465435620