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148586349961 = 7253210392
BaseRepresentation
bin1000101001100001101…
…1111100010110001001
3112012112020102122120201
42022120123330112021
54413301101144321
6152132025052201
713510052064400
oct2123033742611
9465466378521
10148586349961
1158019136a35
1224969327061
131101c73194a
147297b28637
153ce9940291
hex22986fc589

148586349961 has 27 divisors (see below), whose sum is σ = 176337830151. Its totient is φ = 124836448464.

The previous prime is 148586349941. The next prime is 148586349979. The reversal of 148586349961 is 169943685841.

The square root of 148586349961 is 385469.

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

It can be written as a sum of positive squares in only one way, i.e., 107115471225 + 41470878736 = 327285^2 + 203644^2 .

It is not a de Polignac number, because 148586349961 - 25 = 148586349929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 148586349893 and 148586349902.

It is not an unprimeable number, because it can be changed into a prime (148586349941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143008480 + ... + 143009518.

Almost surely, 2148586349961 is an apocalyptic number.

148586349961 is the 385469-th square number.

148586349961 is the 192735-th centered octagonal number.

It is an amenable number.

148586349961 is a deficient number, since it is larger than the sum of its proper divisors (27751480190).

148586349961 is an frugal number, since it uses more digits than its factorization.

148586349961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 1099 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 64.

Multiplying 148586349961 by its sum of digits (64), we get a square (9509526397504 = 30837522).

The spelling of 148586349961 in words is "one hundred forty-eight billion, five hundred eighty-six million, three hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 7 49 53 371 1039 2597 2809 7273 19663 50911 55067 137641 385469 1079521 2698283 2918551 7556647 20429857 52896529 57214613 143008999 400502291 2803516037 3032374489 21226621423 148586349961