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4133130057 = 34723892677
BaseRepresentation
bin1111011001011010…
…1000111101001001
3101200001012202120000
43312112220331021
531431040130212
61522043153213
7204265011600
oct36626507511
911601182500
104133130057
111831053871
12974215809
1350b394ab4
142b2ccaa37
15192cc11dc
hexf65a8f49

4133130057 has 60 divisors (see below), whose sum is σ = 7203364740. Its totient is φ = 2354837184.

The previous prime is 4133130011. The next prime is 4133130073. The reversal of 4133130057 is 7500313314.

It can be written as a sum of positive squares in 2 ways, for example, as 414081801 + 3719048256 = 20349^2 + 60984^2 .

It is not a de Polignac number, because 4133130057 - 28 = 4133129801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4133130057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133130077) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1542603 + ... + 1545279.

It is an arithmetic number, because the mean of its divisors is an integer number (120056079).

Almost surely, 24133130057 is an apocalyptic number.

It is an amenable number.

4133130057 is a deficient number, since it is larger than the sum of its proper divisors (3070234683).

4133130057 is a wasteful number, since it uses less digits than its factorization.

4133130057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 4133130057 is about 64289.4241458111. The cubic root of 4133130057 is about 1604.8201073600.

The spelling of 4133130057 in words is "four billion, one hundred thirty-three million, one hundred thirty thousand, fifty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 389 441 567 1167 1323 2677 2723 3501 3969 8031 8169 10503 18739 19061 24093 24507 31509 56217 57183 72279 73521 131173 168651 171549 216837 220563 393519 505953 514647 1041353 1180557 1517859 1543941 3124059 3541671 7289471 9372177 10625013 21868413 28116531 51026297 65605239 84349593 153078891 196815717 459236673 590447151 1377710019 4133130057