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863172923041 = 112132732892
BaseRepresentation
bin11001000111110010001…
…11011000111010100001
310001112000000010201220001
430203321013120322201
5103120234232014131
61500311451220001
7116235141534142
oct14437107307241
93045000121801
10863172923041
11303084680900
1211b356a47601
1363520b84a00
142dac6395ac9
15176be395261
hexc8f91d8ea1

863172923041 has 81 divisors (see below), whose sum is σ = 1053475475787. Its totient is φ = 706391262720.

The previous prime is 863172922901. The next prime is 863172923047. The reversal of 863172923041 is 140329271368.

The square root of 863172923041 is 929071.

It is a perfect power (a square), and thus also a powerful number.

863172923041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 848478634641 + 14694288400 = 921129^2 + 121220^2 .

It is not a de Polignac number, because 863172923041 - 223 = 863164534433 is a prime.

It is a super-2 number, since 2×8631729230412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 863172922982 and 863172923000.

It is not an unprimeable number, because it can be changed into a prime (863172923047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9698572125 + ... + 9698572213.

Almost surely, 2863172923041 is an apocalyptic number.

863172923041 is the 929071-st square number.

863172923041 is the 464536-th centered octagonal number.

It is an amenable number.

863172923041 is a deficient number, since it is larger than the sum of its proper divisors (190302552746).

863172923041 is an equidigital number, since it uses as much as digits as its factorization.

863172923041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 863172923041 in words is "eight hundred sixty-three billion, one hundred seventy-two million, nine hundred twenty-three thousand, forty-one".

Divisors: 1 11 13 73 89 121 143 169 803 949 979 1157 1573 1859 5329 6497 7921 8833 10439 10769 12337 12727 15041 20449 58619 69277 71467 84461 87131 102973 114829 135707 139997 165451 474281 578233 644809 762047 786137 900601 929071 958441 1097993 1132703 1338649 1492777 1819961 5217091 6165653 6360563 7517029 8382517 9906611 10219781 12077923 12459733 14725139 42211009 57388001 67822183 69966193 80153489 82687319 97721377 108972721 132857153 161976529 464321099 548743117 746044013 881688379 909560509 1074935147 5107532089 6036174287 7133660521 9698572169 11824286617 66397917157 78470265731 863172923041