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23466666432 = 26311273101137
BaseRepresentation
bin10101110110101110…
…001110100111000000
32020120102200011120210
4111312232032213000
5341024431311212
614440324034120
71460345242056
oct256656164700
966512604523
1023466666432
119a52359900
12466ab32940
13229c972b51
1411c88881d6
1592529153c
hex576b8e9c0

23466666432 has 336 divisors, whose sum is σ = 70376283936. Its totient is φ = 6893568000.

The previous prime is 23466666413. The next prime is 23466666467.

23466666432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234666664322 (a number of 22 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171289468 + ... + 171289604.

It is an arithmetic number, because the mean of its divisors is an integer number (209453226).

Almost surely, 223466666432 is an apocalyptic number.

23466666432 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 23466666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35188141968).

23466666432 is an abundant number, since it is smaller than the sum of its proper divisors (46909617504).

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

23466666432 is a wasteful number, since it uses less digits than its factorization.

23466666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

23466666432 divided by its sum of digits (48) gives a palindrome (488888884).

It can be divided in two parts, 234 and 66666432, that added together give a palindrome (66666666).

The spelling of 23466666432 in words is "twenty-three billion, four hundred sixty-six million, six hundred sixty-six thousand, four hundred thirty-two".