Search a number
-
+
3199107846025 = 527213239312
BaseRepresentation
bin101110100011011001101…
…011111100111110001001
3102022211110022210211202201
4232203121223330332021
5404403233102033100
610445352211400201
7450061606011100
oct56433153747611
912284408724681
103199107846025
111023808a84443
124380128b3061
131a28a0071a00
14b0ba2701037
15583396db36a
hex2e8d9afcf89

3199107846025 has 81 divisors (see below), whose sum is σ = 4998091705173. Its totient is φ = 2024414683200.

The previous prime is 3199107846019. The next prime is 3199107846031. The reversal of 3199107846025 is 5206487019913.

It is a happy number.

The square root of 3199107846025 is 1788605.

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

It is an interprime number because it is at equal distance from previous prime (3199107846019) and next prime (3199107846031).

It can be written as a sum of positive squares in 4 ways, for example, as 824574779721 + 2374533066304 = 908061^2 + 1540952^2 .

It is not a de Polignac number, because 3199107846025 - 211 = 3199107843977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 813813310 + ... + 813817240.

It is a 1-persistent number, because it is pandigital, but 2⋅3199107846025 = 6398215692050 is not.

Almost surely, 23199107846025 is an apocalyptic number.

3199107846025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3199107846025 is the 1788605-th square number.

3199107846025 is the 894303-rd centered octagonal number.

It is an amenable number.

3199107846025 is a deficient number, since it is larger than the sum of its proper divisors (1798983859148).

3199107846025 is an frugal number, since it uses more digits than its factorization.

3199107846025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 3199107846025 in words is "three trillion, one hundred ninety-nine billion, one hundred seven million, eight hundred forty-six thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 3185 3931 4225 5915 8281 15925 19655 27517 29575 41405 51103 98275 137585 192619 207025 255515 357721 664339 687925 963095 1277575 1788605 2504047 3321695 4650373 4815475 8943025 12520235 15452761 16608475 23251865 32552611 62601175 77263805 108169327 116259325 162763055 200885893 386319025 540846635 757185289 813815275 1004429465 1406201251 2611516609 2704233175 3785926445 5022147325 7031006255 9843408757 13057583045 18280616263 18929632225 35155031275 49217043785 65287915225 91403081315 127964313841 246085218925 457015406575 639821569205 3199107846025