Search a number
-
+
54087138369 = 3411311958189
BaseRepresentation
bin110010010111110110…
…000011110001000001
312011121102111022110000
4302113312003301001
51341232301411434
640503003030213
73623221043025
oct622766036101
9164542438400
1054087138369
1120a35863660
12a59580b369
13513c7509b4
142891488385
1516185cdb99
hexc97d83c41

54087138369 has 40 divisors (see below), whose sum is σ = 90985340160. Its totient is φ = 31722645600.

The previous prime is 54087138337. The next prime is 54087138379. The reversal of 54087138369 is 96383178045.

54087138369 is a `hidden beast` number, since 540 + 8 + 7 + 1 + 38 + 3 + 69 = 666.

It is not a de Polignac number, because 54087138369 - 25 = 54087138337 is a prime.

It is a super-2 number, since 2×540871383692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54087138379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 951474 + ... + 1006715.

It is an arithmetic number, because the mean of its divisors is an integer number (2274633504).

Almost surely, 254087138369 is an apocalyptic number.

It is an amenable number.

54087138369 is a deficient number, since it is larger than the sum of its proper divisors (36898201791).

54087138369 is a wasteful number, since it uses less digits than its factorization.

54087138369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958243 (or 1958234 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54087138369 in words is "fifty-four billion, eighty-seven million, one hundred thirty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 27 31 33 81 93 99 279 297 341 837 891 1023 2511 3069 9207 27621 1958189 5874567 17623701 21540079 52871103 60703859 64620237 158613309 182111577 193860711 546334731 581582133 667742449 1639004193 1744746399 2003227347 4917012579 6009682041 18029046123 54087138369