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4345345125 = 3253111918481
BaseRepresentation
bin1000000110000000…
…01011010001100101
3102012211112101220100
410003000023101211
532344402021000
61555103454313
7212452552452
oct40300132145
912184471810
104345345125
11192a91a120
12a132b7399
13543337c44
142d316c829
151a673ea00
hex10300b465

4345345125 has 96 divisors (see below), whose sum is σ = 8995559040. Its totient is φ = 1995840000.

The previous prime is 4345345111. The next prime is 4345345141. The reversal of 4345345125 is 5215435434.

4345345125 is a `hidden beast` number, since 43 + 453 + 45 + 125 = 666.

It is not a de Polignac number, because 4345345125 - 25 = 4345345093 is a prime.

It is a super-2 number, since 2×43453451252 = 37764048510722531250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4345345125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225885 + ... + 244365.

It is an arithmetic number, because the mean of its divisors is an integer number (93703740).

Almost surely, 24345345125 is an apocalyptic number.

4345345125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4345345125 is an abundant number, since it is smaller than the sum of its proper divisors (4650213915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4345345125 is a wasteful number, since it uses less digits than its factorization.

4345345125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18532 (or 18519 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 4345345125 is about 65919.2318295655. The cubic root of 4345345125 is about 1631.8294193918.

The spelling of 4345345125 in words is "four billion, three hundred forty-five million, three hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 75 95 99 125 165 171 209 225 275 285 375 475 495 627 825 855 1045 1125 1375 1425 1881 2375 2475 3135 4125 4275 5225 7125 9405 12375 15675 18481 21375 26125 47025 55443 78375 92405 166329 203291 235125 277215 351139 462025 609873 831645 1016455 1053417 1386075 1755695 1829619 2310125 3049365 3160251 3862529 4158225 5082275 5267085 6930375 8778475 9148095 11587587 15246825 15801255 19312645 20791125 25411375 26335425 34762761 43892375 45740475 57937935 76234125 79006275 96563225 131677125 173813805 228702375 289689675 395031375 482816125 869069025 1448448375 4345345125