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23164446132 = 22324752326177
BaseRepresentation
bin10101100100101101…
…010110010110110100
32012210100222210021100
4111210231112112310
5334420044234012
614350330250100
71450015354242
oct254455262664
965710883240
1023164446132
1199077a9263
1245a5886930
132252178579
14119a697792
159089948dc
hex564b565b4

23164446132 has 72 divisors (see below), whose sum is σ = 59917044096. Its totient is φ = 7542457344.

The previous prime is 23164446121. The next prime is 23164446133.

23164446132 is a `hidden beast` number, since 2 + 3 + 1 + 644 + 4 + 6 + 1 + 3 + 2 = 666.

23164446132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231644461322 (a number of 22 digits) contains 22 as substring.

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 (23164446133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871828 + ... + 898004.

It is an arithmetic number, because the mean of its divisors is an integer number (832181168).

Almost surely, 223164446132 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 23164446132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29958522048).

23164446132 is an abundant number, since it is smaller than the sum of its proper divisors (36752597964).

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

23164446132 is a wasteful number, since it uses less digits than its factorization.

23164446132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26757 (or 26752 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 2316444 and 6132, that added together give a square (2322576 = 15242).

The spelling of 23164446132 in words is "twenty-three billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 523 564 846 1046 1569 1692 2092 3138 4707 6276 9414 18828 24581 26177 49162 52354 73743 78531 98324 104708 147486 157062 221229 235593 294972 314124 442458 471186 884916 942372 1230319 2460638 3690957 4921276 7381914 11072871 13690571 14763828 22145742 27381142 41071713 44291484 54762284 82143426 123215139 164286852 246430278 492860556 643456837 1286913674 1930370511 2573827348 3860741022 5791111533 7721482044 11582223066 23164446132