Search a number
-
+
4550545552434 = 23731127121722613
BaseRepresentation
bin100001000111000000110…
…1001101011010000110010
3121010000202100021112001020
41002032001221223100302
51044024004130134214
613402254115520310
7646523521664220
oct102160151532062
917100670245036
104550545552434
1114a496a3717a2
12615b145b9096
13270164a2a1cb
1411a367505b10
157d5842e84a9
hex42381a6b432

4550545552434 has 128 divisors (see below), whose sum is σ = 10830683308032. Its totient is φ = 1247227269120.

The previous prime is 4550545552361. The next prime is 4550545552471. The reversal of 4550545552434 is 4342555450554.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 201224512 + ... + 201247124.

It is an arithmetic number, because the mean of its divisors is an integer number (84614713344).

Almost surely, 24550545552434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4550545552434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415341654016).

4550545552434 is an abundant number, since it is smaller than the sum of its proper divisors (6280137755598).

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

4550545552434 is a wasteful number, since it uses less digits than its factorization.

4550545552434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24000.

The product of its (nonzero) digits is 24000000, while the sum is 51.

The spelling of 4550545552434 in words is "four trillion, five hundred fifty billion, five hundred forty-five million, five hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 127 186 217 254 381 434 651 762 889 1217 1302 1778 2434 2667 3651 3937 5334 7302 7874 8519 11811 17038 22613 23622 25557 27559 37727 45226 51114 55118 67839 75454 82677 113181 135678 154559 158291 165354 226362 264089 309118 316582 463677 474873 528178 701003 792267 927354 949746 1081913 1402006 1584534 2103009 2163826 2871851 3245739 4206018 4791329 4907021 5743702 6491478 8615553 9582658 9814042 14373987 14721063 17231106 20102957 27520021 28747974 29442126 33539303 40205914 55040042 60308871 67078606 82560063 89027381 100617909 120617742 165120126 178054762 192640147 201235818 267082143 385280294 534164286 577920441 623191667 853120651 1155840882 1246383334 1706241302 1869575001 2559361953 3495042667 3739150002 5118723906 5971844557 6990085334 10485128001 11943689114 17915533671 20970256002 24465298669 35831067342 48930597338 73395896007 108346322677 146791792014 216692645354 325038968031 650077936062 758424258739 1516848517478 2275272776217 4550545552434