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42515180125 = 531122810921
BaseRepresentation
bin100111100110000110…
…100010101001011101
311001201221210220222221
4213212012202221131
51144032341231000
631310423505341
73033365032315
oct474606425135
9131657726887
1042515180125
1117037790100
1282a62b8251
134017198322
1420b4650445
15118c71061a
hex9e61a2a5d

42515180125 has 24 divisors (see below), whose sum is σ = 58321009656. Its totient is φ = 30920120000.

The previous prime is 42515180111. The next prime is 42515180173. The reversal of 42515180125 is 52108151524.

42515180125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 139310809 + 42375869316 = 11803^2 + 205854^2 .

It is not a de Polignac number, because 42515180125 - 235 = 8155441757 is a prime.

It is a super-2 number, since 2×425151801252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390336 + ... + 1420585.

It is an arithmetic number, because the mean of its divisors is an integer number (2430042069).

Almost surely, 242515180125 is an apocalyptic number.

It is an amenable number.

42515180125 is a deficient number, since it is larger than the sum of its proper divisors (15805829531).

42515180125 is a wasteful number, since it uses less digits than its factorization.

42515180125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810958 (or 2810937 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The spelling of 42515180125 in words is "forty-two billion, five hundred fifteen million, one hundred eighty thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 15125 2810921 14054605 30920131 70273025 154600655 340121441 351365125 773003275 1700607205 3865016375 8503036025 42515180125