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20317755402 = 23271271677603
BaseRepresentation
bin10010111011000010…
…000101100000001010
31221102222102220201100
4102323002011200022
5313102321133102
613200040002230
71316331033330
oct227302054012
957388386640
1020317755402
11868693039a
123b30460376
131bba481299
14daa59bb50
157ddad5a1c
hex4bb08580a

20317755402 has 96 divisors (see below), whose sum is σ = 51017121792. Its totient is φ = 5724123552.

The previous prime is 20317755401. The next prime is 20317755439. The reversal of 20317755402 is 20455771302.

20317755402 is a `hidden beast` number, since 2 + 0 + 31 + 77 + 554 + 0 + 2 = 666.

It is a super-2 number, since 2×203177554022 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20317755401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668533 + ... + 2676135.

It is an arithmetic number, because the mean of its divisors is an integer number (531428352).

Almost surely, 220317755402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20317755402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25508560896).

20317755402 is an abundant number, since it is smaller than the sum of its proper divisors (30699366390).

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

20317755402 is a wasteful number, since it uses less digits than its factorization.

20317755402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 20317755402 in words is "twenty billion, three hundred seventeen million, seven hundred fifty-five thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 167 254 334 381 501 762 889 1002 1143 1169 1503 1778 2286 2338 2667 3006 3507 5334 7014 7603 8001 10521 15206 16002 21042 21209 22809 42418 45618 53221 63627 68427 106442 127254 136854 148463 159663 190881 296926 319326 381762 445389 478989 890778 957978 965581 1269701 1336167 1931162 2539402 2672334 2896743 3809103 5793486 6759067 7618206 8690229 8887907 11427309 13518134 17380458 17775814 20277201 22854618 26663721 40554402 53327442 60831603 79991163 121663206 159982326 161252027 322504054 483756081 967512162 1128764189 1451268243 2257528378 2902536486 3386292567 6772585134 10158877701 20317755402