Search a number
-
+
23017571412 = 223111311996689
BaseRepresentation
bin10101011011111101…
…000100010001010100
32012102010121210000220
4111123331010101110
5334114444241122
614324002234340
71443253062123
oct253375042124
965363553026
1023017571412
1198419010a0
1245646559b0
13222a902054
141184d83aba
158eab3125c
hex55bf44454

23017571412 has 96 divisors (see below), whose sum is σ = 59342976000. Its totient is φ = 6885964800.

The previous prime is 23017571399. The next prime is 23017571419. The reversal of 23017571412 is 21417571032.

It is a super-3 number, since 3×230175714123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23017571419) 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 31 ways as a sum of consecutive naturals, for example, 3437764 + ... + 3444452.

It is an arithmetic number, because the mean of its divisors is an integer number (618156000).

Almost surely, 223017571412 is an apocalyptic number.

23017571412 is a gapful number since it is divisible by the number (22) 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 23017571412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29671488000).

23017571412 is an abundant number, since it is smaller than the sum of its proper divisors (36325404588).

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

23017571412 is a wasteful number, since it uses less digits than its factorization.

23017571412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 23017571412 in words is "twenty-three billion, seventeen million, five hundred seventy-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 199 262 393 398 524 597 786 796 1194 1441 1572 2189 2388 2882 4323 4378 5764 6567 6689 8646 8756 13134 13378 17292 20067 26069 26268 26756 40134 52138 73579 78207 80268 104276 147158 156414 220737 286759 294316 312828 441474 573518 860277 876259 882948 1147036 1331111 1720554 1752518 2628777 2662222 3441108 3505036 3993333 5257554 5324444 7986666 9638849 10515108 14642221 15973332 19277698 28916547 29284442 38555396 43926663 57833094 58568884 87853326 115666188 174375541 175706652 348751082 523126623 697502164 1046253246 1918130951 2092506492 3836261902 5754392853 7672523804 11508785706 23017571412