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23276666667232 = 25111931229521941
BaseRepresentation
bin1010100101011100001010…
…11100101100000011100000
310001102020010220212200200001
411102232011130230003200
511022331103131322412
6121301053020305344
74621453333113166
oct522560534540340
9101366126780601
1023276666667232
11746464056a820
12273b2106a2254
13ccac987b4654
145a684d3d9236
152a572d583957
hex152b8572c0e0

23276666667232 has 384 divisors, whose sum is σ = 54720620236800. Its totient is φ = 9628968960000.

The previous prime is 23276666667227. The next prime is 23276666667257.

23276666667232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232766666672322 (a number of 28 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 24736095882 + ... + 24736096822.

It is an arithmetic number, because the mean of its divisors is an integer number (142501615200).

Almost surely, 223276666667232 is an apocalyptic number.

23276666667232 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 23276666667232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360310118400).

23276666667232 is an abundant number, since it is smaller than the sum of its proper divisors (31443953569568).

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

23276666667232 is a wasteful number, since it uses less digits than its factorization.

23276666667232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1754 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 64.

The spelling of 23276666667232 in words is "twenty-three trillion, two hundred seventy-six billion, six hundred sixty-six million, six hundred sixty-seven thousand, two hundred thirty-two".