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8380162312201 = 977229632
BaseRepresentation
bin111100111110010100010…
…0110010000100000001001
31002200010122220211211002101
41321330220212100200021
52044300033022442301
625453443213433401
71523306143232611
oct171745046204011
932603586754071
108380162312201
112741009178129
12b3416b49b861
1348a3273778a4
1420d85dd2ba41
15e7ec1ea5701
hex79f28990809

8380162312201 has 9 divisors (see below), whose sum is σ = 8391580657831. Its totient is φ = 8368759494112.

The previous prime is 8380162312187. The next prime is 8380162312229. The reversal of 8380162312201 is 1022132610838.

The square root of 8380162312201 is 2894851.

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., 7840196001225 + 539966310976 = 2800035^2 + 734824^2 .

It is not a de Polignac number, because 8380162312201 - 229 = 8379625441289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8380162312601) 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, 2828267946 + ... + 2828270908.

Almost surely, 28380162312201 is an apocalyptic number.

8380162312201 is the 2894851-st square number.

8380162312201 is the 1447426-th centered octagonal number.

It is an amenable number.

8380162312201 is a deficient number, since it is larger than the sum of its proper divisors (11418345630).

8380162312201 is an frugal number, since it uses more digits than its factorization.

8380162312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 8380162312201 in words is "eight trillion, three hundred eighty billion, one hundred sixty-two million, three hundred twelve thousand, two hundred one".

Divisors: 1 977 2963 954529 2894851 8779369 2828269427 8577443513 8380162312201