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457453182042 = 23343539738321
BaseRepresentation
bin1101010100000100101…
…01011001110001011010
31121201202200212102022000
412222002111121301122
524443331003311132
6550052345141430
745023054614323
oct6520225316132
91551680772260
10457453182042
1116700643942a
12747a818a876
13341a355614c
14181d86d944a
15bd7577387c
hex6a82559c5a

457453182042 has 128 divisors (see below), whose sum is σ = 1070784126720. Its totient is φ = 144617840640.

The previous prime is 457453182041. The next prime is 457453182049. The reversal of 457453182042 is 240281354754.

457453182042 is a `hidden beast` number, since 4 + 5 + 74 + 531 + 8 + 2 + 0 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (457453182041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11918242 + ... + 11956562.

It is an arithmetic number, because the mean of its divisors is an integer number (8365500990).

Almost surely, 2457453182042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457453182042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535392063360).

457453182042 is an abundant number, since it is smaller than the sum of its proper divisors (613330944678).

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

457453182042 is a wasteful number, since it uses less digits than its factorization.

457453182042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38525 (or 38519 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 457453182042 in words is "four hundred fifty-seven billion, four hundred fifty-three million, one hundred eighty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 53 54 86 97 106 129 159 194 258 291 318 387 477 582 774 873 954 1161 1431 1746 2279 2322 2619 2862 4171 4558 5141 5238 6837 8342 10282 12513 13674 15423 20511 25026 30846 37539 38321 41022 46269 61533 75078 76642 92538 112617 114963 123066 138807 221063 225234 229926 277614 344889 442126 663189 689778 1034667 1326378 1647803 1989567 2031013 2069334 3295606 3717137 3979134 4062026 4943409 5968701 6093039 7434274 9886818 11151411 11937402 12186078 14830227 18279117 22302822 29660454 33454233 36558234 44490681 54837351 66908466 87333559 88981362 100362699 109674702 159836891 174667118 197008261 200725398 262000677 319673782 394016522 479510673 524001354 591024783 786002031 959021346 1182049566 1438532019 1572004062 1773074349 2358006093 2877064038 3546148698 4315596057 4716012186 5319223047 8471355223 8631192114 10638446094 16942710446 25414065669 50828131338 76242197007 152484394014 228726591021 457453182042