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4706138925 = 3252149229613
BaseRepresentation
bin1000110001000000…
…11111101100101101
3110010222102121221200
410120200133230231
534114232421200
62054552520113
7224423343435
oct43040375455
913128377850
104706138925
111aa5546914
12ab40b0039
135a00000b7
143290492c5
151c825b800
hex11881fb2d

4706138925 has 72 divisors (see below), whose sum is σ = 8536749000. Its totient is φ = 2478159360.

The previous prime is 4706138897. The next prime is 4706138939. The reversal of 4706138925 is 5298316074.

4706138925 is a `hidden beast` number, since 4 + 7 + 0 + 613 + 8 + 9 + 25 = 666.

4706138925 is digitally balanced in base 10, 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 12 ways, for example, as 2687074569 + 2019064356 = 51837^2 + 44934^2 .

It is not a de Polignac number, because 4706138925 - 225 = 4672584493 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

4706138925 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7676919 + ... + 7677531.

It is a 1-persistent number, because it is pandigital, but 2⋅4706138925 = 9412277850 is not.

Almost surely, 24706138925 is an apocalyptic number.

4706138925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4706138925 is a deficient number, since it is larger than the sum of its proper divisors (3830610075).

4706138925 is a wasteful number, since it uses less digits than its factorization.

4706138925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4706138925 is about 68601.3041056801. The cubic root of 4706138925 is about 1675.7976656696.

The spelling of 4706138925 in words is "four billion, seven hundred six million, one hundred thirty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 149 225 229 447 613 687 745 1145 1341 1839 2061 2235 3065 3435 3725 5517 5725 6705 9195 10305 11175 15325 17175 27585 33525 34121 45975 51525 91337 102363 137925 140377 170605 274011 307089 421131 456685 511815 701885 822033 853025 1263393 1370055 1535445 2105655 2283425 2559075 3509425 4110165 6316965 6850275 7677225 10528275 20550825 20916173 31584825 62748519 104580865 188245557 313742595 522904325 941227785 1568712975 4706138925