Search a number
-
+
23004124432032 = 25316713811039021
BaseRepresentation
bin1010011101100000100001…
…01010100100011010100000
310000110011122222120122012210
411032300100222210122200
511003344421323311112
6120531540542322120
74562664435253122
oct516602052443240
9100404588518183
1023004124432032
117369aa3586627
1226b642a889340
13cab383451663
14597596c19212
1529d5cb72db3c
hex14ec10aa46a0

23004124432032 has 96 divisors (see below), whose sum is σ = 60791464911744. Its totient is φ = 7616598451200.

The previous prime is 23004124431997. The next prime is 23004124432049. The reversal of 23004124432032 is 23023442140032.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21620682 + ... + 22659702.

It is an arithmetic number, because the mean of its divisors is an integer number (633244426164).

Almost surely, 223004124432032 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 23004124432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30395732455872).

23004124432032 is an abundant number, since it is smaller than the sum of its proper divisors (37787340479712).

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

23004124432032 is a wasteful number, since it uses less digits than its factorization.

23004124432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040582 (or 1040574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23004124432032 its reverse (23023442140032), we get a palindrome (46027566572064).

The spelling of 23004124432032 in words is "twenty-three trillion, four billion, one hundred twenty-four million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 1381 2004 2672 2762 4008 4143 5344 5524 8016 8286 11048 16032 16572 22096 33144 44192 66288 132576 230627 461254 691881 922508 1039021 1383762 1845016 2078042 2767524 3117063 3690032 4156084 5535048 6234126 7380064 8312168 11070096 12468252 16624336 22140192 24936504 33248672 49873008 99746016 173516507 347033014 520549521 694066028 1041099042 1388132056 1434888001 2082198084 2776264112 2869776002 4164396168 4304664003 5552528224 5739552004 8328792336 8609328006 11479104008 16657584672 17218656012 22958208016 34437312024 45916416032 68874624048 137749248096 239626296167 479252592334 718878888501 958505184668 1437757777002 1917010369336 2875515554004 3834020738672 5751031108008 7668041477344 11502062216016 23004124432032