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163253978209 = 7219722932
BaseRepresentation
bin1001100000001010110…
…0100000010001100001
3120121101110011100221101
42120002230200101201
510133321004300314
6202555311154401
714536404630100
oct2300254402141
9517343140841
10163253978209
1163265684153
1227781515a01
131251945750a
147c89b50037
1543a749e174
hex2602b20461

163253978209 has 27 divisors (see below), whose sum is σ = 191530260057. Its totient is φ = 138746507424.

The previous prime is 163253978143. The next prime is 163253978221. The reversal of 163253978209 is 902879352361.

The square root of 163253978209 is 404047.

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 141148235809 + 22105742400 = 375697^2 + 148680^2 .

It is not a de Polignac number, because 163253978209 - 235 = 128894239841 is a prime.

It is a super-2 number, since 2×1632539782092 (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 163253978209.

It is not an unprimeable number, because it can be changed into a prime (163253978249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 557180667 + ... + 557180959.

Almost surely, 2163253978209 is an apocalyptic number.

163253978209 is the 404047-th square number.

163253978209 is the 202024-th centered octagonal number.

It is an amenable number.

163253978209 is a deficient number, since it is larger than the sum of its proper divisors (28276281848).

163253978209 is an frugal number, since it uses more digits than its factorization.

163253978209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 163253978209 in words is "one hundred sixty-three billion, two hundred fifty-three million, nine hundred seventy-eight thousand, two hundred nine".

Divisors: 1 7 49 197 293 1379 2051 9653 14357 38809 57721 85849 271663 404047 600943 1901641 2828329 4206601 11371037 16912253 79597259 118385771 557180813 828700397 3331713841 23321996887 163253978209