Search a number
-
+
6075705461 = 73231315879
BaseRepresentation
bin1011010100010001…
…11110100001110101
3120200102111211001012
411222020332201311
544420340033321
62442515242005
7303363434000
oct55210764165
916612454035
106075705461
112638639491
1212168a9305
1375a9844b7
14418cb8537
152585de05b
hex16a23e875

6075705461 has 32 divisors (see below), whose sum is σ = 7451136000. Its totient is φ = 4942457520.

The previous prime is 6075705431. The next prime is 6075705473. The reversal of 6075705461 is 1645075706.

It is a de Polignac number, because none of the positive numbers 2k-6075705461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6075705431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030520 + ... + 1036398.

It is an arithmetic number, because the mean of its divisors is an integer number (232848000).

Almost surely, 26075705461 is an apocalyptic number.

It is an amenable number.

6075705461 is a deficient number, since it is larger than the sum of its proper divisors (1375430539).

6075705461 is a wasteful number, since it uses less digits than its factorization.

6075705461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 6075705461 is about 77946.8117436499. The cubic root of 6075705461 is about 1824.7312256716.

The spelling of 6075705461 in words is "six billion, seventy-five million, seven hundred five thousand, four hundred sixty-one".

Divisors: 1 7 23 49 131 161 343 917 1127 3013 5879 6419 7889 21091 41153 44933 135217 147637 288071 770149 946519 1033459 2016497 5391043 6625633 17713427 37737301 46379431 123993989 264161107 867957923 6075705461