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5120665641 = 337138923417
BaseRepresentation
bin1001100010011011…
…10010100000101001
3111012212102202201000
410301031302200221
540441342300031
62204041345213
7240615640230
oct46115624051
914185382630
105120665641
112198533983
12baaa98209
13637b59790
14368111b17
151ee83e3e6
hex131372829

5120665641 has 64 divisors (see below), whose sum is σ = 9442137600. Its totient is φ = 2670547968.

The previous prime is 5120665609. The next prime is 5120665717. The reversal of 5120665641 is 1465660215.

5120665641 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 6 + 6 + 5 + 641 = 666.

5120665641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5120665641 - 25 = 5120665609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5120665596 and 5120665605.

It is not an unprimeable number, because it can be changed into a prime (5120665601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206965 + ... + 230381.

It is an arithmetic number, because the mean of its divisors is an integer number (147533400).

Almost surely, 25120665641 is an apocalyptic number.

It is an amenable number.

5120665641 is a deficient number, since it is larger than the sum of its proper divisors (4321471959).

5120665641 is a wasteful number, since it uses less digits than its factorization.

5120665641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23535 (or 23529 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5120665641 is about 71558.8264367157. The cubic root of 5120665641 is about 1723.6224404588.

It can be divided in two parts, 5120 and 665641, that added together give a square (670761 = 8192).

The spelling of 5120665641 in words is "five billion, one hundred twenty million, six hundred sixty-five thousand, six hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 63 89 91 117 189 267 273 351 623 801 819 1157 1869 2403 2457 3471 5607 8099 10413 16821 23417 24297 31239 70251 72891 163919 210753 218673 304421 491757 632259 913263 1475271 2084113 2130947 2739789 4425813 6252339 6392841 8219367 14588791 18757017 19178523 27093469 43766373 56271051 57535569 81280407 131299119 189654283 243841221 393897357 568962849 731523663 1706888547 5120665641