Search a number
-
+
132295148176 = 24909312
BaseRepresentation
bin111101100110101100…
…1111100001010010000
3110122110212122212000211
41323031121330022100
54131420024220201
6140435304053504
712362253130312
oct1731531741220
9418425585024
10132295148176
1151119186a04
1221781464294
13c62453b489
1465902337b2
1536945c7651
hex1ecd67c290

132295148176 has 15 divisors (see below), whose sum is σ = 256324668483. Its totient is φ = 66146846640.

The previous prime is 132295148143. The next prime is 132295148207. The reversal of 132295148176 is 671841592231.

It is a happy number.

The square root of 132295148176 is 363724.

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

It is a super-2 number, since 2×1322951481762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1409431 + ... + 1500361.

Almost surely, 2132295148176 is an apocalyptic number.

132295148176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132295148176 is the 363724-th square number.

It is an amenable number.

132295148176 is a deficient number, since it is larger than the sum of its proper divisors (124029520307).

132295148176 is an frugal number, since it uses more digits than its factorization.

132295148176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181870 (or 90933 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

Multiplying 132295148176 by its sum of digits (49), we get a square (6482462260624 = 25460682).

The spelling of 132295148176 in words is "one hundred thirty-two billion, two hundred ninety-five million, one hundred forty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 90931 181862 363724 727448 1454896 8268446761 16536893522 33073787044 66147574088 132295148176