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482949949284 = 22321137181182107
BaseRepresentation
bin1110000011100100000…
…11110110011101100100
31201011120121112101122200
413001302003312131210
530403040141334114
61005510353254500
746614643556565
oct7016203663544
91634517471580
10482949949284
111768aa723aa0
1279722b64430
133670798217a
1419536a3616c
15c868d71409
hex70720f6764

482949949284 has 144 divisors (see below), whose sum is σ = 1375329149376. Its totient is φ = 141605625600.

The previous prime is 482949949253. The next prime is 482949949297.

482949949284 is a `hidden beast` number, since 48 + 2 + 9 + 4 + 99 + 492 + 8 + 4 = 666.

482949949284 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4829499492842 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2560959 + ... + 2743065.

Almost surely, 2482949949284 is an apocalyptic number.

482949949284 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 482949949284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687664574688).

482949949284 is an abundant number, since it is smaller than the sum of its proper divisors (892379200092).

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

482949949284 is a wasteful number, since it uses less digits than its factorization.

482949949284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182346 (or 182341 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 482949949284 in words is "four hundred eighty-two billion, nine hundred forty-nine million, nine hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 181 198 222 333 362 396 407 444 543 666 724 814 1086 1221 1332 1628 1629 1991 2172 2442 3258 3663 3982 4884 5973 6516 6697 7326 7964 11946 13394 14652 17919 20091 23892 26788 35838 40182 60273 71676 73667 80364 120546 147334 182107 221001 241092 294668 364214 442002 546321 663003 728428 884004 1092642 1326006 1638963 2003177 2185284 2652012 3277926 4006354 6009531 6555852 6737959 8012708 12019062 13475918 18028593 20213877 24038124 26951836 32961367 36057186 40427754 60641631 65922734 72114372 74117549 80855508 98884101 121283262 131845468 148235098 197768202 222352647 242566524 296470196 296652303 362575037 395536404 444705294 593304606 667057941 725150074 889410588 1087725111 1186609212 1219570579 1334115882 1450300148 2175450222 2439141158 2668231764 3263175333 3658711737 4350900444 4878282316 6526350666 7317423474 10976135211 13052701332 13415276369 14634846948 21952270422 26830552738 40245829107 43904540844 53661105476 80491658214 120737487321 160983316428 241474974642 482949949284