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12330337716 = 2232342509381
BaseRepresentation
bin10110111101111001…
…00000010110110100
31011211022201001111200
423132330200112310
5200223031301331
65355305532500
7614362066314
oct133674402664
934738631450
1012330337716
115258177254
1224814a4130
131216725228
1484d84b444
154c27735e6
hex2def205b4

12330337716 has 18 divisors (see below), whose sum is σ = 31168353762. Its totient is φ = 4110112560.

The previous prime is 12330337709. The next prime is 12330337739. The reversal of 12330337716 is 61773303321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10532916900 + 1797420816 = 102630^2 + 42396^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×123303377162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 342509381 = 12330337716 / (1 + 2 + 3 + 3 + 0 + 3 + 3 + 7 + 7 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171254655 + ... + 171254726.

It is an arithmetic number, because the mean of its divisors is an integer number (1731575209).

Almost surely, 212330337716 is an apocalyptic number.

It is an amenable number.

12330337716 is an abundant number, since it is smaller than the sum of its proper divisors (18838016046).

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

12330337716 is a wasteful number, since it uses less digits than its factorization.

12330337716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342509391 (or 342509386 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 12330337716 in words is "twelve billion, three hundred thirty million, three hundred thirty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 342509381 685018762 1027528143 1370037524 2055056286 3082584429 4110112572 6165168858 12330337716