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482970985776 = 243323227214133
BaseRepresentation
bin1110000011100110101…
…00000110010100110000
31201011122002010011022000
413001303110012110300
530403111033021101
61005512424214000
746615320433506
oct7016324062460
91634562104260
10482970985776
11176910592024
127972a00a300
133670c1392b6
1419539750676
15c86ab29486
hex7073506530

482970985776 has 160 divisors (see below), whose sum is σ = 1452959147520. Its totient is φ = 153311659776.

The previous prime is 482970985741. The next prime is 482970985801. The reversal of 482970985776 is 677589079284.

482970985776 is a `hidden beast` number, since 48 + 2 + 9 + 7 + 0 + 9 + 8 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148406 + ... + 2362538.

It is an arithmetic number, because the mean of its divisors is an integer number (9080994672).

Almost surely, 2482970985776 is an apocalyptic number.

482970985776 is a gapful number since it is divisible by the number (46) 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 482970985776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726479573760).

482970985776 is an abundant number, since it is smaller than the sum of its proper divisors (969988161744).

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

482970985776 is a wasteful number, since it uses less digits than its factorization.

482970985776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214400 (or 214388 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 482970985776 in words is "four hundred eighty-two billion, nine hundred seventy million, nine hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 227 276 368 414 432 454 552 621 681 828 908 1104 1242 1362 1656 1816 2043 2484 2724 3312 3632 4086 4968 5221 5448 6129 8172 9936 10442 10896 12258 15663 16344 20884 24516 31326 32688 41768 46989 49032 62652 83536 93978 98064 125304 140967 187956 214133 250608 281934 375912 428266 563868 642399 751824 856532 1127736 1284798 1713064 1927197 2255472 2569596 3426128 3854394 4925059 5139192 5781591 7708788 9850118 10278384 11563182 14775177 15417576 19700236 23126364 29550354 30835152 39400472 44325531 46252728 48608191 59100708 78800944 88651062 92505456 97216382 118201416 132976593 145824573 177302124 194432764 236402832 265953186 291649146 354604248 388865528 437473719 531906372 583298292 709208496 777731056 874947438 1063812744 1117988393 1166596584 1312421157 1749894876 2127625488 2235976786 2333193168 2624842314 3353965179 3499789752 4471953572 5249684628 6707930358 6999579504 8943907144 10061895537 10499369256 13415860716 17887814288 20123791074 20998738512 26831721432 30185686611 40247582148 53663442864 60371373222 80495164296 120742746444 160990328592 241485492888 482970985776