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12383644433360 = 245295337777773
BaseRepresentation
bin1011010000110100101010…
…1110100011101111010000
31121211212100110202121020212
42310031022232203233100
53110343200433331420
642200545005423252
72415455152622534
oct264151256435720
947755313677225
1012383644433360
113a44968494982
12148004956ab28
136baa076bcb35
1430b52b8d3bc4
151671d89da3c5
hexb434aba3bd0

12383644433360 has 40 divisors (see below), whose sum is σ = 29784799978920. Its totient is φ = 4782648883712.

The previous prime is 12383644433317. The next prime is 12383644433423. The reversal of 12383644433360 is 6333444638321.

12383644433360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1353434410384 + 11030210022976 = 1163372^2 + 3321176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12383644433299 and 12383644433308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668886567 + ... + 2668891206.

It is an arithmetic number, because the mean of its divisors is an integer number (744619999473).

Almost surely, 212383644433360 is an apocalyptic number.

12383644433360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12383644433360 is an abundant number, since it is smaller than the sum of its proper divisors (17401155545560).

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

12383644433360 is a wasteful number, since it uses less digits than its factorization.

12383644433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337777815 (or 5337777809 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 50.

The spelling of 12383644433360 in words is "twelve trillion, three hundred eighty-three billion, six hundred forty-four million, four hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5337777773 10675555546 21351111092 26688888865 42702222184 53377777730 85404444368 106755555460 154795555417 213511110920 309591110834 427022221840 619182221668 773977777085 1238364443336 1547955554170 2476728886672 3095911108340 6191822216680 12383644433360