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23260899636 = 22321376964633
BaseRepresentation
bin10101101010011101…
…010010100100110100
32020001002111010121100
4111222131102210310
5340114242242021
614404053450100
71452266245632
oct255235224464
966032433540
1023260899636
1199571981a7
124612040930
132269149a50
1411a9404352
15912198626
hex56a752934

23260899636 has 72 divisors (see below), whose sum is σ = 63404661320. Its totient is φ = 7147782144.

The previous prime is 23260899619. The next prime is 23260899661. The reversal of 23260899636 is 63699806232.

23260899636 is a `hidden beast` number, since 23 + 2 + 608 + 9 + 9 + 6 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 627502500 + 22633397136 = 25050^2 + 150444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327576 + ... + 392208.

Almost surely, 223260899636 is an apocalyptic number.

23260899636 is a gapful number since it is divisible by the number (26) 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 23260899636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31702330660).

23260899636 is an abundant number, since it is smaller than the sum of its proper divisors (40143761684).

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

23260899636 is a wasteful number, since it uses less digits than its factorization.

23260899636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65425 (or 65420 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 23260899636 in words is "twenty-three billion, two hundred sixty million, eight hundred ninety-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 769 1538 2307 3076 4614 6921 9228 9997 13842 19994 27684 29991 39988 59982 64633 89973 119964 129266 179946 193899 258532 359892 387798 581697 775596 840229 1163394 1680458 2326788 2520687 3360916 5041374 7562061 10082748 15124122 30248244 49702777 99405554 149108331 198811108 298216662 447324993 596433324 646136101 894649986 1292272202 1789299972 1938408303 2584544404 3876816606 5815224909 7753633212 11630449818 23260899636