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195851387601 = 321475172
BaseRepresentation
bin1011011001100110100…
…1110000001011010001
3200201112012221100011100
42312121221300023101
511202100423400401
6225550050535013
720102244220062
oct2663151601321
9621465840140
10195851387601
1176073003311
1231b5a297469
131561299633c
14969d124569
155164145b86
hex2d99a702d1

195851387601 has 9 divisors (see below), whose sum is σ = 282898366491. Its totient is φ = 130566706632.

The previous prime is 195851387581. The next prime is 195851387609. The reversal of 195851387601 is 106783158591.

It is a happy number.

The square root of 195851387601 is 442551.

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

195851387601 is a `hidden beast` number, since 1 + 9 + 58 + 513 + 8 + 76 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95694329025 + 100157058576 = 309345^2 + 316476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 195851387601 - 29 = 195851387089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (195851387609) 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, 1253895 + ... + 1401411.

Almost surely, 2195851387601 is an apocalyptic number.

195851387601 is the 442551-st square number.

195851387601 is the 221276-th centered octagonal number.

It is an amenable number.

195851387601 is a deficient number, since it is larger than the sum of its proper divisors (87046978890).

195851387601 is an frugal number, since it uses more digits than its factorization.

195851387601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295040 (or 147520 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 195851387601 in words is "one hundred ninety-five billion, eight hundred fifty-one million, three hundred eighty-seven thousand, six hundred one".

Divisors: 1 3 9 147517 442551 1327653 21761265289 65283795867 195851387601