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132074301632 = 2671322677593
BaseRepresentation
bin111101100000000111…
…1011110100011000000
3110121220111002200112012
41323000033132203000
54130442010123012
6140401334352052
712353632016660
oct1730017364300
9417814080465
10132074301632
11510155556a9
122171b4bb628
13c5ba865650
14656cb861a0
153680001622
hex1ec03de8c0

132074301632 has 56 divisors (see below), whose sum is σ = 322566097056. Its totient is φ = 52249171968.

The previous prime is 132074301631. The next prime is 132074301647. The reversal of 132074301632 is 236103470231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (132074301631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11332973 + ... + 11344620.

It is an arithmetic number, because the mean of its divisors is an integer number (5760108876).

Almost surely, 2132074301632 is an apocalyptic number.

It is an amenable number.

132074301632 is an abundant number, since it is smaller than the sum of its proper divisors (190491795424).

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

132074301632 is a wasteful number, since it uses less digits than its factorization.

132074301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22677625 (or 22677615 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 132074301632 its reverse (236103470231), we get a palindrome (368177771863).

The spelling of 132074301632 in words is "one hundred thirty-two billion, seventy-four million, three hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 22677593 45355186 90710372 158743151 181420744 294808709 317486302 362841488 589617418 634972604 725682976 1179234836 1269945208 1451365952 2063660963 2358469672 2539890416 4127321926 4716939344 5079780832 8254643852 9433878688 10159561664 16509287704 18867757376 33018575408 66037150816 132074301632