Search a number
-
+
105452170378417 = 1939111419103613
BaseRepresentation
bin10111111110100001111111…
…001001111111110010110001
3111211101010111001202211210101
4113332201333021333302301
5102310212021104102132
61012140020331432401
731132445041536142
oct2776417711776261
9454333431684711
10105452170378417
1130667018056555
12b9b14065b5701
1346ac135147c35
141c07cab417ac9
15c2d0bda997e7
hex5fe87f27fcb1

105452170378417 has 8 divisors (see below), whose sum is σ = 111030666759360. Its totient is φ = 99876512212560.

The previous prime is 105452170378403. The next prime is 105452170378453. The reversal of 105452170378417 is 714873071254501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105452170378417 is a prime.

It is a super-2 number, since 2×1054521703784172 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105452170379417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709477498 + ... + 709626115.

It is an arithmetic number, because the mean of its divisors is an integer number (13878833344920).

Almost surely, 2105452170378417 is an apocalyptic number.

It is an amenable number.

105452170378417 is a deficient number, since it is larger than the sum of its proper divisors (5578496380943).

105452170378417 is a wasteful number, since it uses less digits than its factorization.

105452170378417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419107543.

The product of its (nonzero) digits is 6585600, while the sum is 55.

The spelling of 105452170378417 in words is "one hundred five trillion, four hundred fifty-two billion, one hundred seventy million, three hundred seventy-eight thousand, four hundred seventeen".

Divisors: 1 19 3911 74309 1419103613 26962968647 5550114230443 105452170378417