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23032433423032 = 23111747149818087
BaseRepresentation
bin1010011110010101010000…
…00000110011001010111000
310000112212201212221101022221
411033022220000303022320
511004330410424014112
6120552542010253424
74565016112564435
oct517125000631270
9100485655841287
1023032433423032
117380000238560
1226bba0b427274
13cb0c453976c7
14598ac083cb8c
1529e1d6b7ce07
hex14f2a80332b8

23032433423032 has 32 divisors (see below), whose sum is σ = 47138763208320. Its totient is φ = 10463295126240.

The previous prime is 23032433423009. The next prime is 23032433423057.

23032433423032 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×230324334230323 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 74755308 + ... + 75062779.

It is an arithmetic number, because the mean of its divisors is an integer number (1473086350260).

Almost surely, 223032433423032 is an apocalyptic number.

23032433423032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23032433423032 is an abundant number, since it is smaller than the sum of its proper divisors (24106329785288).

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

23032433423032 is a wasteful number, since it uses less digits than its factorization.

23032433423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149819851 (or 149819847 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

It can be divided in two parts, 2303243 and 3423032, that added together give a palindrome (5726275).

The spelling of 23032433423032 in words is "twenty-three trillion, thirty-two billion, four hundred thirty-three million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 1747 3494 6988 13976 19217 38434 76868 153736 149818087 299636174 599272348 1198544696 1647998957 3295997914 6591995828 13183991656 261732197989 523464395978 1046928791956 2093857583912 2879054177879 5758108355758 11516216711516 23032433423032