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196248114001 = 97245672
BaseRepresentation
bin1011011011000101001…
…1001001001101010001
3200202112212110010110201
42312301103021031101
511203404004122001
6230053302055201
720115132305602
oct2666123111521
9622485403421
10196248114001
1176256a42775
123204b11a501
1315676c2c8a4
1496d9ab5da9
155188dae501
hex2db14c9351

196248114001 has 9 divisors (see below), whose sum is σ = 198335575899. Its totient is φ = 194182409664.

The previous prime is 196248113987. The next prime is 196248114011. The reversal of 196248114001 is 100411842691.

The square root of 196248114001 is 442999.

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., 88122891025 + 108125222976 = 296855^2 + 328824^2 .

It is not a de Polignac number, because 196248114001 - 211 = 196248111953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196248114011) 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, 42968620 + ... + 42973186.

It is an arithmetic number, because the mean of its divisors is an integer number (22037286211).

Almost surely, 2196248114001 is an apocalyptic number.

196248114001 is the 442999-th square number.

196248114001 is the 221500-th centered octagonal number.

It is an amenable number.

196248114001 is a deficient number, since it is larger than the sum of its proper divisors (2087461898).

196248114001 is an frugal number, since it uses more digits than its factorization.

196248114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

Adding to 196248114001 its reverse (100411842691), we get a palindrome (296659956692).

It can be divided in two parts, 196248 and 114001, that added together give a square (310249 = 5572).

The spelling of 196248114001 in words is "one hundred ninety-six billion, two hundred forty-eight million, one hundred fourteen thousand, one".

Divisors: 1 97 4567 9409 442999 20857489 42970903 2023176433 196248114001