Search a number
-
+
46026115704 = 23335916322157
BaseRepresentation
bin101010110111010111…
…101100101001111000
311101210122020221012000
4222313113230221320
51223230141200304
633051043221000
73216366346152
oct526727545170
9141718227160
1046026115704
11185795a6a58
128b06077760
1344566932ba
142328a57ad2
1512e5a7c939
hexab75eca78

46026115704 has 128 divisors (see below), whose sum is σ = 130820832000. Its totient is φ = 14988799872.

The previous prime is 46026115703. The next prime is 46026115739. The reversal of 46026115704 is 40751162064.

46026115704 is a `hidden beast` number, since 4 + 60 + 26 + 1 + 1 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46026115703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066194 + ... + 2088350.

It is an arithmetic number, because the mean of its divisors is an integer number (1022037750).

Almost surely, 246026115704 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 46026115704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65410416000).

46026115704 is an abundant number, since it is smaller than the sum of its proper divisors (84794716296).

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

46026115704 is a wasteful number, since it uses less digits than its factorization.

46026115704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 46026115704 its reverse (40751162064), we get a palindrome (86777277768).

The spelling of 46026115704 in words is "forty-six billion, twenty-six million, one hundred fifteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 163 177 216 236 326 354 472 489 531 652 708 978 1062 1304 1416 1467 1593 1956 2124 2934 3186 3912 4248 4401 5868 6372 8802 9617 11736 12744 17604 19234 22157 28851 35208 38468 44314 57702 66471 76936 86553 88628 115404 132942 173106 177256 199413 230808 259659 265884 346212 398826 519318 531768 598239 692424 797652 1038636 1196478 1307263 1595304 2077272 2392956 2614526 3611591 3921789 4785912 5229052 7223182 7843578 10458104 10834773 11765367 14446364 15687156 21669546 23530734 28892728 31374312 32504319 35296101 43339092 47061468 65008638 70592202 86678184 94122936 97512957 130017276 141184404 195025914 213083869 260034552 282368808 390051828 426167738 639251607 780103656 852335476 1278503214 1704670952 1917754821 2557006428 3835509642 5114012856 5753264463 7671019284 11506528926 15342038568 23013057852 46026115704