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20002577671323 = 33131371492791721
BaseRepresentation
bin1001000110001001101101…
…00010010110010010011011
32121211020011000210202222000
410203010312202112102123
510110210234340440243
6110313020214332043
74133065343614422
oct443046642262233
977736130722860
1020002577671323
1164120556a1715
1222b077295a023
13b21309339640
144d21b672a2b9
1524a4a63055d3
hex12313689649b

20002577671323 has 64 divisors (see below), whose sum is σ = 32361641424000. Its totient is φ = 12137415874560.

The previous prime is 20002577671313. The next prime is 20002577671367. The reversal of 20002577671323 is 32317677520002.

It is a happy number.

20002577671323 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 577 + 6 + 71 + 3 + 2 + 3 = 666.

It is not a de Polignac number, because 20002577671323 - 218 = 20002577409179 is a prime.

It is a super-2 number, since 2×200025776713232 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20002577671313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5769103 + ... + 8560823.

It is an arithmetic number, because the mean of its divisors is an integer number (505650647250).

Almost surely, 220002577671323 is an apocalyptic number.

20002577671323 is a deficient number, since it is larger than the sum of its proper divisors (12359063752677).

20002577671323 is a wasteful number, since it uses less digits than its factorization.

20002577671323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792029 (or 2792023 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 20002577671323 in words is "twenty trillion, two billion, five hundred seventy-seven million, six hundred seventy-one thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 137 149 351 411 447 1233 1341 1781 1937 3699 4023 5343 5811 16029 17433 20413 48087 52299 61239 183717 265369 551151 796107 2388321 2791721 7164963 8375163 25125489 36292373 75376467 108877119 326631357 382465777 415966429 979894071 1147397331 1247899287 3442191993 3743697861 4972055101 5407563577 10326575979 11231093583 14916165303 16222690731 44748495909 48668072193 56987400773 134245487727 146004216579 170962202319 512886606957 740836210049 1538659820871 2222508630147 6667525890441 20002577671323