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132064782457 = 7311375721149
BaseRepresentation
bin111101011111110101…
…1001010100001111001
3110121212211012001200011
41322333223022201321
54130432041014312
6140400354341521
712353455062166
oct1727753124171
9417784161604
10132064782457
1151010143813
122171828a8a1
13c5b88b18ba
14656b7c906d
15367e270da7
hex1ebfaca879

132064782457 has 16 divisors (see below), whose sum is σ = 135243421200. Its totient is φ = 128926328832.

The previous prime is 132064782439. The next prime is 132064782469. The reversal of 132064782457 is 754287460231.

It can be written as a sum of positive squares in 8 ways, for example, as 26481378361 + 105583404096 = 162731^2 + 324936^2 .

It is a cyclic number.

It is not a de Polignac number, because 132064782457 - 219 = 132064258169 is a prime.

It is a super-2 number, since 2×1320647824572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132064782457.

It is not an unprimeable number, because it can be changed into a prime (132064782757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6233919 + ... + 6255067.

It is an arithmetic number, because the mean of its divisors is an integer number (8452713825).

Almost surely, 2132064782457 is an apocalyptic number.

It is an amenable number.

132064782457 is a deficient number, since it is larger than the sum of its proper divisors (3178638743).

132064782457 is a wasteful number, since it uses less digits than its factorization.

132064782457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092.

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 132064782457 in words is "one hundred thirty-two billion, sixty-four million, seven hundred eighty-two thousand, four hundred fifty-seven".

Divisors: 1 73 113 757 8249 21149 55261 85541 1543877 2389837 6244493 16009793 174458101 1168714889 1809106609 132064782457