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20153135079 = 3272116736173
BaseRepresentation
bin10010110001001110…
…000110111111100111
31221000111200100002100
4102301032012333213
5312233200310304
613131435343143
71312261551600
oct226116067747
957014610070
1020153135079
118601a12740
123aa52b1ab3
131b923337cc
14d92788da7
157ce419439
hex4b1386fe7

20153135079 has 72 divisors (see below), whose sum is σ = 37002066192. Its totient is φ = 10451911680.

The previous prime is 20153135059. The next prime is 20153135089. The reversal of 20153135079 is 97053135102.

20153135079 is a `hidden beast` number, since 2 + 0 + 1 + 531 + 3 + 50 + 79 = 666.

It is not a de Polignac number, because 20153135079 - 211 = 20153133031 is a prime.

It is a super-2 number, since 2×201531350792 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153135059) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3261637 + ... + 3267809.

It is an arithmetic number, because the mean of its divisors is an integer number (513917586).

Almost surely, 220153135079 is an apocalyptic number.

20153135079 is a deficient number, since it is larger than the sum of its proper divisors (16848931113).

20153135079 is a wasteful number, since it uses less digits than its factorization.

20153135079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 20153135079 in words is "twenty billion, one hundred fifty-three million, one hundred thirty-five thousand, seventy-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 673 693 1617 2019 4711 4851 6057 6173 7403 14133 18519 22209 32977 42399 43211 51821 55557 66627 67903 98931 129633 155463 203709 296793 302477 362747 388899 466389 475321 611127 907431 1088241 1425963 2722293 3264723 3327247 4154429 4277889 9981741 12463287 29081003 29945223 37389861 45698719 87243009 137096157 203567021 261729027 319891033 411288471 610701063 959673099 1832103189 2239237231 2879019297 6717711693 20153135079