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189748231201 = 3726121932
BaseRepresentation
bin1011000010110111100…
…0000011110000100001
3200010202212202212111201
42300231320003300201
511102101021344301
6223100311041201
716465065232144
oct2605570036041
9603685685451
10189748231201
1173520a25601
1230936370201
1314b7c4201a9
14928074205b
154e08433201
hex2c2de03c21

189748231201 has 27 divisors (see below), whose sum is σ = 199297144683. Its totient is φ = 180652446720.

The previous prime is 189748231187. The next prime is 189748231207. The reversal of 189748231201 is 102132847981.

The square root of 189748231201 is 435601.

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

It can be written as a sum of positive squares in 13 ways, for example, as 165487053601 + 24261177600 = 406801^2 + 155760^2 .

It is not a de Polignac number, because 189748231201 - 27 = 189748231073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189748231207) 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, 983151361 + ... + 983151553.

It is an arithmetic number, because the mean of its divisors is an integer number (7381375729).

Almost surely, 2189748231201 is an apocalyptic number.

189748231201 is the 435601-st square number.

189748231201 is the 217801-st centered octagonal number.

It is an amenable number.

189748231201 is a deficient number, since it is larger than the sum of its proper divisors (9548913482).

189748231201 is an frugal number, since it uses more digits than its factorization.

189748231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 189748231201 in words is "one hundred eighty-nine billion, seven hundred forty-eight million, two hundred thirty-one thousand, two hundred one".

Divisors: 1 37 61 193 1369 2257 3721 7141 11773 37249 83509 137677 264217 435601 718153 1378213 2272189 5094049 16117237 26571661 50993881 84070993 138603529 983151457 3110626741 5128330573 189748231201