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1338472133838 = 23373540931571
BaseRepresentation
bin10011011110100011001…
…001111111010011001110
311201221211102110100101000
4103132203021333103032
5133412142331240323
62502515143001130
7165462405264030
oct23364311772316
94657742410330
101338472133838
11476708697824
121974a37391a6
13992a977ba88
1448ad4c7bc50
1524c3b70ae43
hex137a327f4ce

1338472133838 has 32 divisors (see below), whose sum is σ = 3399294309120. Its totient is φ = 382420609560.

The previous prime is 1338472133783. The next prime is 1338472133879. The reversal of 1338472133838 is 8383312748331.

1338472133838 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 47 + 213 + 383 + 8 = 666.

It is a super-2 number, since 2×13384721338382 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770465408 + ... + 1770466163.

It is an arithmetic number, because the mean of its divisors is an integer number (106227947160).

Almost surely, 21338472133838 is an apocalyptic number.

1338472133838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1338472133838 is an abundant number, since it is smaller than the sum of its proper divisors (2060822175282).

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

1338472133838 is a wasteful number, since it uses less digits than its factorization.

1338472133838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540931589 (or 3540931583 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 1338472133838 in words is "one trillion, three hundred thirty-eight billion, four hundred seventy-two million, one hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3540931571 7081863142 10622794713 21245589426 24786520997 31868384139 49573041994 63736768278 74359562991 95605152417 148719125982 191210304834 223078688973 446157377946 669236066919 1338472133838