Search a number
-
+
484854458484 = 2231197165722853
BaseRepresentation
bin1110000111000111001…
…00111110100001110100
31201100111100012111010110
413003203210332201310
530420440220132414
61010423345423020
750013100616544
oct7034344764164
91640440174113
10484854458484
11177697779a40
1279b7493aa70
133694c4042a6
1419677955324
15c92b170459
hex70e393e874

484854458484 has 96 divisors (see below), whose sum is σ = 1247705536896. Its totient is φ = 145316782080.

The previous prime is 484854458447. The next prime is 484854458489.

484854458484 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484854458489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21204802 + ... + 21227654.

It is an arithmetic number, because the mean of its divisors is an integer number (12996932676).

Almost surely, 2484854458484 is an apocalyptic number.

484854458484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484854458484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623852768448).

484854458484 is an abundant number, since it is smaller than the sum of its proper divisors (762851078412).

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

484854458484 is a wasteful number, since it uses less digits than its factorization.

484854458484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24625 (or 24623 counting only the distinct ones).

The product of its digits is 419430400, while the sum is 66.

The spelling of 484854458484 in words is "four hundred eighty-four billion, eight hundred fifty-four million, four hundred fifty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 1657 2134 3201 3314 4268 4971 6402 6628 9942 12804 18227 19884 22853 36454 45706 54681 68559 72908 91412 109362 137118 160729 218724 251383 274236 321458 482187 502766 642916 754149 964374 1005532 1508298 1768019 1928748 2216741 3016596 3536038 4433482 5304057 6650223 7072076 8866964 10608114 13300446 21216228 24384151 26600892 37867421 48768302 73152453 75734842 97536604 113602263 146304906 151469684 227204526 292609812 416541631 454409052 833083262 1249624893 1666166524 2499249786 3673139837 4998499572 7346279674 11019419511 14692559348 22038839022 40404538207 44077678044 80809076414 121213614621 161618152828 242427229242 484854458484