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20272346073 = 32723137102121
BaseRepresentation
bin10010111000010100…
…110111001111011001
31221022210222212211100
4102320110313033121
5313004210033243
613151334422013
71315240045530
oct227024671731
957283885740
1020272346073
118663235721
123b19201909
131bb0c42565
14da453b317
157d9b160d3
hex4b85373d9

20272346073 has 48 divisors (see below), whose sum is σ = 35175718656. Its totient is φ = 10999549440.

The previous prime is 20272346063. The next prime is 20272346113. The reversal of 20272346073 is 37064327202.

20272346073 is a `hidden beast` number, since 2 + 0 + 27 + 23 + 4 + 607 + 3 = 666.

It is not a de Polignac number, because 20272346073 - 26 = 20272346009 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20272346063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147453 + ... + 249573.

It is an arithmetic number, because the mean of its divisors is an integer number (732827472).

Almost surely, 220272346073 is an apocalyptic number.

20272346073 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20272346073 is a deficient number, since it is larger than the sum of its proper divisors (14903372583).

20272346073 is a wasteful number, since it uses less digits than its factorization.

20272346073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102294 (or 102291 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 20272346073 in words is "twenty billion, two hundred seventy-two million, three hundred forty-six thousand, seventy-three".

Divisors: 1 3 7 9 21 23 63 69 137 161 207 411 483 959 1233 1449 2877 3151 8631 9453 22057 28359 66171 102121 198513 306363 714847 919089 2144541 2348783 6433623 7046349 13990577 16441481 21139047 41971731 49324443 97934039 125915193 147973329 293802117 321783271 881406351 965349813 2252482897 2896049439 6757448691 20272346073