Search a number
-
+
918586148041 = 712134992
BaseRepresentation
bin11010101111000000000…
…00000100010011001001
310020211000211220020012201
431113200000010103021
5110022231023214131
61541554225040201
7123236264300032
oct15274000042311
93224024806181
10918586148041
1132462aa29a21
1212a040786061
1368812275343
14326619d1a89
1518d640b8761
hexd5e00044c9

918586148041 has 9 divisors (see below), whose sum is σ = 931775229613. Its totient is φ = 905581224940.

The previous prime is 918586148027. The next prime is 918586148047. The reversal of 918586148041 is 140841685819.

The square root of 918586148041 is 958429.

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

It is not a de Polignac number, because 918586148041 - 29 = 918586147529 is a prime.

It is a super-2 number, since 2×9185861480412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (918586148047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68041710 + ... + 68055208.

Almost surely, 2918586148041 is an apocalyptic number.

918586148041 is the 958429-th square number.

918586148041 is the 479215-th centered octagonal number.

It is an amenable number.

918586148041 is a deficient number, since it is larger than the sum of its proper divisors (13189081572).

918586148041 is an frugal number, since it uses more digits than its factorization.

918586148041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 55.

The spelling of 918586148041 in words is "nine hundred eighteen billion, five hundred eighty-six million, one hundred forty-eight thousand, forty-one".

Divisors: 1 71 5041 13499 958429 68048459 182223001 12937833071 918586148041