Search a number
-
+
162730753201 = 41298392
BaseRepresentation
bin1001011110001110000…
…0100011110010110001
3120120000222121210011101
42113203200203302301
510131233033100301
6202431340444401
714520422402542
oct2274340436261
9516028553141
10162730753201
11630172a4495
1227656249701
1312464c30113
147c3a4704c9
154376599701
hex25e3823cb1

162730753201 has 9 divisors (see below), whose sum is σ = 166813556203. Its totient is φ = 158745574480.

The previous prime is 162730753189. The next prime is 162730753223. The reversal of 162730753201 is 102357037261.

The square root of 162730753201 is 403399.

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., 7841279601 + 154889473600 = 88551^2 + 393560^2 .

It is a de Polignac number, because none of the positive numbers 2k-162730753201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162730753261) 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, 16534440 + ... + 16544278.

Almost surely, 2162730753201 is an apocalyptic number.

162730753201 is the 403399-th square number.

162730753201 is the 201700-th centered octagonal number.

It is an amenable number.

162730753201 is a deficient number, since it is larger than the sum of its proper divisors (4082803002).

162730753201 is an frugal number, since it uses more digits than its factorization.

162730753201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19760 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 162730753201 in words is "one hundred sixty-two billion, seven hundred thirty million, seven hundred fifty-three thousand, two hundred one".

Divisors: 1 41 1681 9839 403399 16539359 96805921 3969042761 162730753201