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457708082988 = 22313210316713121
BaseRepresentation
bin1101010100100011000…
…01110001011100101100
31121202102110111201122210
412222101201301130230
524444341232123423
6550133532410420
745032301340632
oct6522141613454
91552373451583
10457708082988
1116712730a272
1274859616a10
13342142c3500
14182204cd352
15bd8cd24b93
hex6a9187172c

457708082988 has 144 divisors (see below), whose sum is σ = 1174767100416. Its totient is φ = 138620252160.

The previous prime is 457708082969. The next prime is 457708083067. The reversal of 457708082988 is 889280807754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34877068 + ... + 34890188.

It is an arithmetic number, because the mean of its divisors is an integer number (8158104864).

Almost surely, 2457708082988 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 457708082988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587383550208).

457708082988 is an abundant number, since it is smaller than the sum of its proper divisors (717059017428).

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

457708082988 is a wasteful number, since it uses less digits than its factorization.

457708082988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 457708082988 in words is "four hundred fifty-seven billion, seven hundred eight million, eighty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 167 169 206 309 334 338 412 501 507 618 668 676 1002 1014 1236 1339 2004 2028 2171 2678 4017 4342 5356 6513 8034 8684 13026 13121 16068 17201 17407 26052 26242 28223 34402 34814 39363 51603 52221 52484 56446 68804 69628 78726 84669 103206 104442 112892 157452 169338 170573 206412 208884 223613 338676 341146 447226 511719 670839 682292 894452 1023438 1341678 1351463 2046876 2191207 2217449 2683356 2702926 2906969 4054389 4382414 4434898 5405852 5813938 6573621 6652347 8108778 8720907 8764828 8869796 11627876 13147242 13304694 16217556 17441814 17569019 26294484 26609388 28485691 34883628 35138038 52707057 56971382 70276076 85457073 105414114 113942764 170914146 210828228 225694321 228397247 341828292 370313983 451388642 456794494 677082963 685191741 740627966 902777284 913588988 1110941949 1354165926 1370383482 1481255932 2221883898 2708331852 2740766964 2934026173 4443767796 5868052346 8802078519 11736104692 17604157038 35208314076 38142340249 76284680498 114427020747 152569360996 228854041494 457708082988