Search a number
-
+
457243423991256 = 233717944773339601
BaseRepresentation
bin110011111110111000100011…
…1110111001110010111011000
32012221222001012101120100122210
41213331301013313032113120
5434412434013020210011
64300250421254515120
7165211514204410410
oct14775610767162730
92187861171510583
10457243423991256
11122767935593601
1243348a09665aa0
1316819b401438a6
1480ca9b238b640
1537cde3dcde6a6
hex19fdc47dce5d8

457243423991256 has 128 divisors (see below), whose sum is σ = 1313741371507200. Its totient is φ = 129907856332800.

The previous prime is 457243423991227. The next prime is 457243423991273. The reversal of 457243423991256 is 652199324342754.

It is a happy number.

It is a congruent number.

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, 1346243856 + ... + 1346583456.

It is an arithmetic number, because the mean of its divisors is an integer number (10263604464900).

Almost surely, 2457243423991256 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 457243423991256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656870685753600).

457243423991256 is an abundant number, since it is smaller than the sum of its proper divisors (856497947515944).

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

457243423991256 is a wasteful number, since it uses less digits than its factorization.

457243423991256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384569 (or 384565 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 66.

The spelling of 457243423991256 in words is "four hundred fifty-seven trillion, two hundred forty-three billion, four hundred twenty-three million, nine hundred ninety-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2506 3759 4296 5012 7518 10024 15036 30072 44773 89546 134319 179092 268638 313411 339601 358184 537276 626822 679202 940233 1018803 1074552 1253644 1358404 1880466 2037606 2377207 2507288 2716808 3760932 4075212 4754414 7131621 7521864 8014367 8150424 9508828 14263242 16028734 19017656 24043101 28526484 32057468 48086202 56100569 57052968 60788579 64114936 96172404 112201138 121577158 168301707 182365737 192344808 224402276 243154316 336603414 364731474 425520053 448804552 486308632 673206828 729462948 851040106 1276560159 1346413656 1458925896 1702080212 2553120318 3404160424 5106240636 10212481272 15204955573 30409911146 45614866719 60819822292 91229733438 106434689011 121639644584 182459466876 212869378022 319304067033 364918933752 425738756044 638608134066 851477512088 1277216268132 2554432536264 2721687047567 5443374095134 8165061142701 10886748190268 16330122285402 19051809332969 21773496380536 32660244570804 38103618665938 57155427998907 65320489141608 76207237331876 114310855997814 152414474663752 228621711995628 457243423991256