Search a number
-
+
4745660127 = 3132343612017
BaseRepresentation
bin1000110101101110…
…10000011011011111
3110020201210111211220
410122313100123133
534204342111002
62102523544423
7225413305545
oct43267203337
913221714756
104745660127
11201588a76a
12b0538b113
135a8259a20
143303b5d95
151cb9667bc
hex11add06df

4745660127 has 64 divisors (see below), whose sum is σ = 7398859776. Its totient is φ = 2682408960.

The previous prime is 4745660099. The next prime is 4745660201. The reversal of 4745660127 is 7210665474.

It is not a de Polignac number, because 4745660127 - 214 = 4745643743 is a prime.

It is a super-2 number, since 2×47456601272 = 45042580081995312258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744660127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2351823 + ... + 2353839.

It is an arithmetic number, because the mean of its divisors is an integer number (115607184).

Almost surely, 24745660127 is an apocalyptic number.

4745660127 is a deficient number, since it is larger than the sum of its proper divisors (2653199649).

4745660127 is a wasteful number, since it uses less digits than its factorization.

4745660127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160.

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4745660127 is about 68888.7518176952. The cubic root of 4745660127 is about 1680.4755984122.

The spelling of 4745660127 in words is "four billion, seven hundred forty-five million, six hundred sixty thousand, one hundred twenty-seven".

Divisors: 1 3 13 23 39 43 61 69 129 183 299 559 793 897 989 1403 1677 2017 2379 2623 2967 4209 6051 7869 12857 18239 26221 34099 38571 46391 54717 60329 78663 86731 102297 123037 139173 180987 260193 369111 603083 784277 1127503 1599481 1809249 1994813 2352831 2829851 3382509 4798443 5290591 5984439 8489553 15871773 25932569 36788063 68777683 77797707 110364189 121683593 206333049 365050779 1581886709 4745660127