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80314993201 = 167216972
BaseRepresentation
bin100101011001100100…
…1011000101000110001
321200022021211101102211
41022303021120220301
52303441114240301
6100521325012121
75542165115062
oct1126311305061
9250267741384
1080314993201
11310747a1143
12136953b4041
13775c482121
143c5c932569
152150e90051
hex12b3258a31

80314993201 has 9 divisors (see below), whose sum is σ = 80846441899. Its totient is φ = 79787020864.

The previous prime is 80314993163. The next prime is 80314993211. The reversal of 80314993201 is 10239941308.

The square root of 80314993201 is 283399.

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., 77314583025 + 3000410176 = 278055^2 + 54776^2 .

It is not a de Polignac number, because 80314993201 - 227 = 80180775473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80314993211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47326785 + ... + 47328481.

Almost surely, 280314993201 is an apocalyptic number.

80314993201 is the 283399-th square number.

80314993201 is the 141700-th centered octagonal number.

It is an amenable number.

80314993201 is a deficient number, since it is larger than the sum of its proper divisors (531448698).

80314993201 is an frugal number, since it uses more digits than its factorization.

80314993201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 80314993201 in words is "eighty billion, three hundred fourteen million, nine hundred ninety-three thousand, two hundred one".

Divisors: 1 167 1697 27889 283399 2879809 47327633 480928103 80314993201