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133628029337 = 112319325110903
BaseRepresentation
bin111110001110011011…
…0011110100110011001
3110202220202201020020202
41330130312132212121
54142132233414322
6141215440231545
712440266336235
oct1743466364631
9422822636222
10133628029337
11517425a2290
1221a9390b5b5
13c7a771995a
1466792735c5
153721610292
hex1f1cd9e999

133628029337 has 32 divisors (see below), whose sum is σ = 153525528576. Its totient is φ = 115125120000.

The previous prime is 133628029319. The next prime is 133628029373. The reversal of 133628029337 is 733920826331.

It is not a de Polignac number, because 133628029337 - 218 = 133627767193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133628029291 and 133628029300.

It is not an unprimeable number, because it can be changed into a prime (133628029037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12250628 + ... + 12261530.

It is an arithmetic number, because the mean of its divisors is an integer number (4797672768).

Almost surely, 2133628029337 is an apocalyptic number.

It is an amenable number.

133628029337 is a deficient number, since it is larger than the sum of its proper divisors (19897499239).

133628029337 is a wasteful number, since it uses less digits than its factorization.

133628029337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381.

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 133628029337 in words is "one hundred thirty-three billion, six hundred twenty-eight million, twenty-nine thousand, three hundred thirty-seven".

Divisors: 1 11 23 193 251 253 2123 2761 4439 5773 10903 48443 48829 63503 119933 250769 532873 1114189 2104279 2736653 2758459 12256079 23147069 30103183 48398417 62943019 528174029 532382587 692373209 5809914319 12148002667 133628029337