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23423222232432 = 243211192376118149
BaseRepresentation
bin1010101001101101001001…
…10101110011010101110000
310001221020102122000210021100
411110312210311303111300
511032231224342414212
6121452251342524400
74635162165631401
oct524664465632560
9101836378023240
1023423222232432
117510807343040
1227636b1896700
13100ba535809b9
145ad9935339a8
152a9459a7ebdc
hex154da4d73570

23423222232432 has 720 divisors, whose sum is σ = 78788563682400. Its totient is φ = 6435019468800.

The previous prime is 23423222232383. The next prime is 23423222232437.

It is a happy number.

23423222232432 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 322 + 2 + 2 + 324 + 3 + 2 = 666.

23423222232432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23423222232437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1290597694 + ... + 1290615842.

It is an arithmetic number, because the mean of its divisors is an integer number (109428560670).

Almost surely, 223423222232432 is an apocalyptic number.

23423222232432 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 23423222232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394281841200).

23423222232432 is an abundant number, since it is smaller than the sum of its proper divisors (55365341449968).

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

23423222232432 is a wasteful number, since it uses less digits than its factorization.

23423222232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310 (or 18282 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 2342322 and 2232432, that added together give a palindrome (4574754).

The spelling of 23423222232432 in words is "twenty-three trillion, four hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, four hundred thirty-two".