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4687472660 = 2251331756873
BaseRepresentation
bin1000101110110010…
…10010100000010100
3110002200022021122112
410113121102200110
534044443111120
62053044450152
7224105601023
oct42731224024
913080267575
104687472660
111a95a57652
12aa99a9958
13599195a80
1432678a8ba
151c67c0bc5
hex117652814

4687472660 has 48 divisors (see below), whose sum is σ = 10634528016. Its totient is φ = 1725268992.

The previous prime is 4687472627. The next prime is 4687472683. The reversal of 4687472660 is 662747864.

It can be written as a sum of positive squares in 8 ways, for example, as 2488612996 + 2198859664 = 49886^2 + 46892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4687472599 and 4687472608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53984 + ... + 110856.

It is an arithmetic number, because the mean of its divisors is an integer number (221552667).

Almost surely, 24687472660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4687472660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317264008).

4687472660 is an abundant number, since it is smaller than the sum of its proper divisors (5947055356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4687472660 is a wasteful number, since it uses less digits than its factorization.

4687472660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57212 (or 57210 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The square root of 4687472660 is about 68465.1200247250. The cubic root of 4687472660 is about 1673.5791214574.

The spelling of 4687472660 in words is "four billion, six hundred eighty-seven million, four hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 317 634 1268 1585 3170 4121 6340 8242 16484 20605 41210 56873 82420 113746 227492 284365 568730 739349 1137460 1478698 2957396 3696745 7393490 14786980 18028741 36057482 72114964 90143705 180287410 234373633 360574820 468747266 937494532 1171868165 2343736330 4687472660