Search a number
-
+
87148536885 = 32560110133181
BaseRepresentation
bin101000100101001110…
…1010010010000110101
322022221112100101002100
41101022131102100311
52411440011140020
6104011355332313
76203423225004
oct1211235222065
9268845311070
1087148536885
1133a61093703
1214a81a51099
1382ab1469b7
14430a31cc3b
152400d78a90
hex144a752435

87148536885 has 48 divisors (see below), whose sum is σ = 151505787888. Its totient is φ = 46341504000.

The previous prime is 87148536847. The next prime is 87148536887. The reversal of 87148536885 is 58863584178.

87148536885 is a `hidden beast` number, since 8 + 7 + 14 + 8 + 536 + 8 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20655725841 + 66492811044 = 143721^2 + 257862^2 .

It is not a de Polignac number, because 87148536885 - 26 = 87148536821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87148536887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27394995 + ... + 27398175.

It is an arithmetic number, because the mean of its divisors is an integer number (3156370581).

Almost surely, 287148536885 is an apocalyptic number.

It is an amenable number.

87148536885 is a deficient number, since it is larger than the sum of its proper divisors (64357251003).

87148536885 is a wasteful number, since it uses less digits than its factorization.

87148536885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4803 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 87148536885 in words is "eighty-seven billion, one hundred forty-eight million, five hundred thirty-six thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 45 601 1013 1803 3005 3039 3181 5065 5409 9015 9117 9543 15195 15905 27045 28629 45585 47715 143145 608813 1826439 1911781 3044065 3222353 5479317 5735343 9132195 9558905 9667059 16111765 17206029 27396585 28676715 29001177 48335295 86030145 145005885 1936634153 5809902459 9683170765 17429707377 29049512295 87148536885