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1339133334336 = 263271132939171
BaseRepresentation
bin10011011111001010100…
…100010001001101000000
311202000112111121210221100
4103133022210101031000
5133420021113144321
62503104522454400
7165514654350210
oct23371244211500
94660474553840
101339133334336
11476a17946516
12197649064400
1399383754b85
1448b589d6240
1524c797b7326
hex137ca911340

1339133334336 has 168 divisors, whose sum is σ = 4425546550464. Its totient is φ = 379223470080.

The previous prime is 1339133334307. The next prime is 1339133334337. The reversal of 1339133334336 is 6334333319331.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1339133334291 and 1339133334300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339133334337) by changing a digit.

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, 1013970 + ... + 1925201.

Almost surely, 21339133334336 is an apocalyptic number.

1339133334336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1339133334336 is an abundant number, since it is smaller than the sum of its proper divisors (3086413216128).

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

1339133334336 is a wasteful number, since it uses less digits than its factorization.

1339133334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939309 (or 2939296 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 45.

The spelling of 1339133334336 in words is "one trillion, three hundred thirty-nine billion, one hundred thirty-three million, three hundred thirty-four thousand, three hundred thirty-six".