Search a number
-
+
5334146125 = 537211411931
BaseRepresentation
bin1001111011111000…
…01001110001001101
3111202202010200212121
410331330021301031
541411020134000
62241145132541
7246120331300
oct47574116115
914682120777
105334146125
112297a93a30
12104a48a151
136701538a9
14388602b37
1521345cb1a
hex13df09c4d

5334146125 has 96 divisors (see below), whose sum is σ = 8658389376. Its totient is φ = 3242400000.

The previous prime is 5334146119. The next prime is 5334146221. The reversal of 5334146125 is 5216414335.

It is not a de Polignac number, because 5334146125 - 29 = 5334145613 is a prime.

It is a super-2 number, since 2×53341461252 = 56906229765705031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2761410 + ... + 2763340.

It is an arithmetic number, because the mean of its divisors is an integer number (90191556).

Almost surely, 25334146125 is an apocalyptic number.

5334146125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5334146125 is a deficient number, since it is larger than the sum of its proper divisors (3324243251).

5334146125 is a wasteful number, since it uses less digits than its factorization.

5334146125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1995 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 5334146125 is about 73035.2389261513. The cubic root of 5334146125 is about 1747.2496798295.

The spelling of 5334146125 in words is "five billion, three hundred thirty-four million, one hundred forty-six thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 41 49 55 77 125 175 205 245 275 287 385 451 539 875 1025 1225 1375 1435 1925 1931 2009 2255 2695 3157 5125 6125 7175 9625 9655 10045 11275 13475 13517 15785 21241 22099 35875 48275 50225 56375 67375 67585 78925 79171 94619 106205 110495 148687 241375 251125 337925 394625 395855 473095 531025 552475 554197 743435 870881 1040809 1689625 1979275 2365475 2655125 2762375 2770985 3717175 3879379 4354405 5204045 6096167 9896375 11827375 13854925 18585875 19396895 21772025 26020225 30480835 42673169 69274625 96984475 108860125 130101125 152404175 213365845 484922375 762020875 1066829225 5334146125