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12334200948 = 2232653524681
BaseRepresentation
bin10110111110010110…
…01111100001110100
31011211120222022212100
423133023033201310
5200230023412243
65355524422100
7614436656346
oct133713174164
934746868770
1012334200948
11525a375803
122482847930
131217478774
14850175296
154c2c880d3
hex2df2cf874

12334200948 has 36 divisors (see below), whose sum is σ = 31225924548. Its totient is φ = 4105096320.

The previous prime is 12334200947. The next prime is 12334201003. The reversal of 12334200948 is 84900243321.

It can be written as a sum of positive squares in 2 ways, for example, as 7281550224 + 5052650724 = 85332^2 + 71082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334200947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238833 + ... + 285848.

It is an arithmetic number, because the mean of its divisors is an integer number (867386793).

Almost surely, 212334200948 is an apocalyptic number.

12334200948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12334200948 is an abundant number, since it is smaller than the sum of its proper divisors (18891723600).

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

12334200948 is a wasteful number, since it uses less digits than its factorization.

12334200948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525344 (or 525339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12334200948 in words is "twelve billion, three hundred thirty-four million, two hundred thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 653 1306 1959 2612 3918 5877 7836 11754 23508 524681 1049362 1574043 2098724 3148086 4722129 6296172 9444258 18888516 342616693 685233386 1027850079 1370466772 2055700158 3083550237 4111400316 6167100474 12334200948