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12610334304 = 2532313139891
BaseRepresentation
bin10111011111010001…
…00110111001100000
31012112211120100121200
423233220212321200
5201311221144204
65443151121200
7624332034021
oct135750467140
935484510550
1012610334304
115391228897
12253b213200
13125c73b199
14878ad4c48
154dc130539
hex2efa26e60

12610334304 has 72 divisors (see below), whose sum is σ = 35975466072. Its totient is φ = 4189985280.

The previous prime is 12610334299. The next prime is 12610334311. The reversal of 12610334304 is 40343301621.

12610334304 is a `hidden beast` number, since 1 + 2 + 610 + 3 + 3 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20199 + ... + 160089.

It is an arithmetic number, because the mean of its divisors is an integer number (499659251).

Almost surely, 212610334304 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 12610334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987733036).

12610334304 is an abundant number, since it is smaller than the sum of its proper divisors (23365131768).

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

12610334304 is a wasteful number, since it uses less digits than its factorization.

12610334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140220 (or 140209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12610334304 its reverse (40343301621), we get a palindrome (52953635925).

The spelling of 12610334304 in words is "twelve billion, six hundred ten million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 22536 30048 45072 90144 139891 279782 419673 559564 839346 1119128 1259019 1678692 2238256 2518038 3357384 4476512 5036076 6714768 10072152 13429536 20144304 40288608 43785883 87571766 131357649 175143532 262715298 350287064 394072947 525430596 700574128 788145894 1050861192 1401148256 1576291788 2101722384 3152583576 4203444768 6305167152 12610334304