Search a number
-
+
5055110000568 = 2332179419936119
BaseRepresentation
bin100100110001111110000…
…0010010010111110111000
3122220021010022022020000100
41021203330002102332320
51130310331130004233
614430141355035400
71031135224015545
oct111437402227670
918807108266010
105055110000568
111679950899681
1269786a13bb60
132a89056c8264
14136950a0dbcc
158b7659ea813
hex498fc092fb8

5055110000568 has 96 divisors (see below), whose sum is σ = 13800281040000. Its totient is φ = 1671622168128.

The previous prime is 5055110000561. The next prime is 5055110000593. The reversal of 5055110000568 is 8650000115505.

5055110000568 is a `hidden beast` number, since 50 + 551 + 1 + 0 + 0 + 0 + 0 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055110000561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932013 + ... + 5868131.

It is an arithmetic number, because the mean of its divisors is an integer number (143752927500).

Almost surely, 25055110000568 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 5055110000568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900140520000).

5055110000568 is an abundant number, since it is smaller than the sum of its proper divisors (8745171039432).

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

5055110000568 is a wasteful number, since it uses less digits than its factorization.

5055110000568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936729 (or 936722 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 5055110000568 in words is "five trillion, fifty-five billion, one hundred ten million, five hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 419 537 716 838 1074 1257 1432 1611 1676 2148 2514 3222 3352 3771 4296 5028 6444 7542 10056 12888 15084 30168 75001 150002 225003 300004 450006 600008 675009 900012 936119 1350018 1800024 1872238 2700036 2808357 3744476 5400072 5616714 7488952 8425071 11233428 16850142 22466856 33700284 67400568 167565301 335130602 392233861 502695903 670261204 784467722 1005391806 1176701583 1340522408 1508087709 1568935444 2010783612 2353403166 3016175418 3137870888 3530104749 4021567224 4706806332 6032350836 7060209498 9413612664 12064701672 14120418996 28240837992 70209861119 140419722238 210629583357 280839444476 421259166714 561678888952 631888750071 842518333428 1263777500142 1685036666856 2527555000284 5055110000568