Search a number
-
+
4704405442135 = 5729137191177127
BaseRepresentation
bin100010001110101010001…
…1010100100111001010111
3121122201220002210202011121
41010131110122210321113
51104034110243122020
614001101331144411
7663611360322220
oct104352432447127
917581802722147
104704405442135
111554144257133
1263b8b3a45107
13281814b82769
141239a1778247
158258bbc3baa
hex447546a4e57

4704405442135 has 64 divisors (see below), whose sum is σ = 6758184222720. Its totient is φ = 3075700884480.

The previous prime is 4704405442129. The next prime is 4704405442159. The reversal of 4704405442135 is 5312445044074.

It is a happy number.

It is not a de Polignac number, because 4704405442135 - 25 = 4704405442103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4704405442091 and 4704405442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26470942 + ... + 26648068.

It is an arithmetic number, because the mean of its divisors is an integer number (105596628480).

Almost surely, 24704405442135 is an apocalyptic number.

4704405442135 is a deficient number, since it is larger than the sum of its proper divisors (2053778780585).

4704405442135 is a wasteful number, since it uses less digits than its factorization.

4704405442135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177496.

The product of its (nonzero) digits is 1075200, while the sum is 43.

The spelling of 4704405442135 in words is "four trillion, seven hundred four billion, four hundred five million, four hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 5 7 29 35 137 145 191 203 685 955 959 1015 1337 3973 4795 5539 6685 19865 26167 27695 27811 38773 130835 139055 177127 183169 193865 758843 885635 915845 1239889 3794215 5136683 5311901 6199445 24266399 25683415 26559505 33831257 35956781 121331995 169156285 169864793 179783905 236818799 703725571 849323965 981106453 1184093995 3518627855 4634882209 4905532265 4926078997 6867745171 23174411045 24630394985 32444175463 34338725855 134411584061 162220877315 672057920305 940881088427 4704405442135