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77016087326161 = 972904732
BaseRepresentation
bin10001100000101110110100…
…100001101110110111010001
3101002200122222112201120221201
4101200232310201232313101
540043312421323414121
6431444411352151201
722136141303641624
oct2140566441566721
9332618875646851
1077016087326161
11225a3380543745
12877a297998501
1333c8780212429
141503854481dbb
158d85726d9e91
hex460bb486edd1

77016087326161 has 9 divisors (see below), whose sum is σ = 77819113107921. Its totient is φ = 76221264559872.

The previous prime is 77016087326149. The next prime is 77016087326207. The reversal of 77016087326161 is 16162378061077.

The square root of 77016087326161 is 8775881.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5810842903761 + 71205244422400 = 2410569^2 + 8438320^2 .

It is a de Polignac number, because none of the positive numbers 2k-77016087326161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77016087326861) 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 8 ways as a sum of consecutive naturals, for example, 851215221 + ... + 851305693.

Almost surely, 277016087326161 is an apocalyptic number.

77016087326161 is the 8775881-st square number.

77016087326161 is the 4387941-st centered octagonal number.

It is an amenable number.

77016087326161 is a deficient number, since it is larger than the sum of its proper divisors (803025781760).

77016087326161 is an frugal number, since it uses more digits than its factorization.

77016087326161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181140 (or 90570 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 77016087326161 in words is "seventy-seven trillion, sixteen billion, eighty-seven million, three hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 97 9409 90473 8775881 851260457 8185363729 793980281713 77016087326161