Search a number
-
+
484169505056010 = 232573147474997219
BaseRepresentation
bin110111000010110010111111…
…1010111000010010100001010
32100111022011010021110212022100
41232011211333113002110022
51001430113121243243020
64433424222223134230
7203661043455215634
oct15605457727022412
92314264107425270
10484169505056010
111302a9152370854
1246377363744376
1317a20cb072aab7
14877bd01577a54
153ae955eba2a90
hex1b8597f5c250a

484169505056010 has 96 divisors (see below), whose sum is σ = 1276171893696960. Its totient is φ = 127334551613184.

The previous prime is 484169505055991. The next prime is 484169505056011. The reversal of 484169505056010 is 10650505961484.

It is a happy number.

484169505056010 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 69 + 5 + 0 + 5 + 0 + 560 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (484169505056011) 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, 94389181 + ... + 99386399.

It is an arithmetic number, because the mean of its divisors is an integer number (13293457226010).

Almost surely, 2484169505056010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484169505056010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638085946848480).

484169505056010 is an abundant number, since it is smaller than the sum of its proper divisors (792002388640950).

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

484169505056010 is a wasteful number, since it uses less digits than its factorization.

484169505056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012052 (or 5012049 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 484169505056010 in words is "four hundred eighty-four trillion, one hundred sixty-nine billion, five hundred five million, fifty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 14747 29494 44241 73735 88482 132723 147470 221205 265446 442410 663615 1076531 1327230 2153062 3229593 4997219 5382655 6459186 9688779 9994438 10765310 14991657 16147965 19377558 24986095 29983314 32295930 44974971 48443895 49972190 74958285 89949942 96887790 149916570 224874855 364796987 449749710 729593974 1094390961 1823984935 2188781922 3283172883 3647969870 5471954805 6566345766 10943909610 16415864415 32831728830 73693988593 147387977186 221081965779 368469942965 442163931558 663245897337 736939885930 1105409828895 1326491794674 2210819657790 3316229486685 5379661167289 6632458973370 10759322334578 16138983501867 26898305836445 32277967003734 48416950505601 53796611672890 80694917509335 96833901011202 161389835018670 242084752528005 484169505056010