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20591091508032 = 2634291193114809
BaseRepresentation
bin1001010111010001111001…
…01100011110001101000000
32200220111012120102021120000
410223220330230132031000
510144331023411224112
6111443230012320000
74223441304652053
oct453507454361500
980814176367500
1020591091508032
1166196a6390781
122386836a73000
13b64968420406
1451288530aa9a
1525a94caa07dc
hex12ba3cb1e340

20591091508032 has 280 divisors, whose sum is σ = 63196698371400. Its totient is φ = 6621405364224.

The previous prime is 20591091508019. The next prime is 20591091508069. The reversal of 20591091508032 is 23080519019502.

20591091508032 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 109 + 1 + 508 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5640929004096 + 14950162503936 = 2375064^2 + 3866544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179293444 + ... + 179408252.

Almost surely, 220591091508032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20591091508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31598349185700).

20591091508032 is an abundant number, since it is smaller than the sum of its proper divisors (42605606863368).

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

20591091508032 is a wasteful number, since it uses less digits than its factorization.

20591091508032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116055 (or 116036 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 20591091508032 in words is "twenty trillion, five hundred ninety-one billion, ninety-one million, five hundred eight thousand, thirty-two".