Search a number
-
+
23235633414336 = 263721181935629
BaseRepresentation
bin1010100100001111101111…
…01011010000000011000000
310001021022020020120110122210
411102013313223100003000
511021143034123224321
6121230145211302120
74615501441164240
oct522076753200300
9101238206513583
1023235633414336
1174491a4346572
12273327a74a940
13cc7159651455
145a4879905b20
152a462aeecb76
hex1521f7ad00c0

23235633414336 has 112 divisors (see below), whose sum is σ = 70593116867840. Its totient is φ = 6607289041920.

The previous prime is 23235633414251. The next prime is 23235633414347. The reversal of 23235633414336 is 63341433653232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40684231 + ... + 41251398.

It is an arithmetic number, because the mean of its divisors is an integer number (630295686320).

Almost surely, 223235633414336 is an apocalyptic number.

It is an amenable number.

23235633414336 is an abundant number, since it is smaller than the sum of its proper divisors (47357483453504).

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

23235633414336 is a wasteful number, since it uses less digits than its factorization.

23235633414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81935862 (or 81935852 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 48.

The spelling of 23235633414336 in words is "twenty-three trillion, two hundred thirty-five billion, six hundred thirty-three million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 211 224 336 422 448 633 672 844 1266 1344 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 13504 17724 20256 23632 35448 40512 47264 70896 94528 141792 283584 81935629 163871258 245806887 327742516 491613774 573549403 655485032 983227548 1147098806 1310970064 1720648209 1966455096 2294197612 2621940128 3441296418 3932910192 4588395224 5243880256 6882592836 7865820384 9176790448 13765185672 15731640768 17288417719 18353580896 27530371344 34576835438 36707161792 51865253157 55060742688 69153670876 103730506314 110121485376 121018924033 138307341752 207461012628 242037848066 276614683504 363056772099 414922025256 484075696132 553229367008 726113544198 829844050512 968151392264 1106458734016 1452227088396 1659688101024 1936302784528 2904454176792 3319376202048 3872605569056 5808908353584 7745211138112 11617816707168 23235633414336