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482912454912 = 283719539293
BaseRepresentation
bin1110000011011111101…
…00110100100100000000
31201011110222222111001020
413001233310310210000
530403001042024122
61005502533505440
746614010065546
oct7015764644400
91634428874036
10482912454912
11176890544a08
12797124a2280
13366ccc84c54
1419531a75d96
15c865916c5c
hex706fd34900

482912454912 has 144 divisors (see below), whose sum is σ = 1304861539968. Its totient is φ = 158520033280.

The previous prime is 482912454907. The next prime is 482912454931. The reversal of 482912454912 is 219454219284.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 51960538 + ... + 51969830.

It is an arithmetic number, because the mean of its divisors is an integer number (9061538472).

Almost surely, 2482912454912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482912454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652430769984).

482912454912 is an abundant number, since it is smaller than the sum of its proper divisors (821949085056).

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

482912454912 is an equidigital number, since it uses as much as digits as its factorization.

482912454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10322 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

It can be divided in two parts, 48291 and 2454912, that added together give a triangular number (2503203 = T2237).

The spelling of 482912454912 in words is "four hundred eighty-two billion, nine hundred twelve million, four hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 953 1136 1704 1906 2272 2859 3408 3812 4544 5718 6816 7624 9088 9293 11436 13632 15248 18176 18586 22872 27264 27879 30496 37172 45744 54528 55758 60992 67663 74344 91488 111516 121984 135326 148688 182976 202989 223032 243968 270652 297376 365952 405978 446064 541304 594752 659803 731904 811956 892128 1082608 1189504 1319606 1623912 1784256 1979409 2165216 2379008 2639212 3247824 3568512 3958818 4330432 5278424 6495648 7137024 7917636 8660864 8856229 10556848 12991296 15835272 17321728 17712458 21113696 25982592 26568687 31670544 35424916 42227392 51965184 53137374 63341088 70849832 84454784 106274748 126682176 141699664 168909568 212549496 253364352 283399328 425098992 506728704 566798656 628792259 850197984 1133597312 1257584518 1700395968 1886376777 2267194624 2515169036 3400791936 3772753554 5030338072 6801583872 7545507108 10060676144 15091014216 20121352288 30182028432 40242704576 60364056864 80485409152 120728113728 160970818304 241456227456 482912454912