Search a number
-
+
41478547828728 = 23353727223720051
BaseRepresentation
bin10010110111001011110100…
…00110111110111111111000
312102212022101022111221022010
421123211322012332333320
520414041031221004403
6224114552023325520
711510504040162633
oct1133457206767770
9172768338457263
1041478547828728
1112241a539a669a
12479a9a18b08a0
131a1b5444bc1aa
14a35802a4ac1a
154bde43aec603
hex25b97a1beff8

41478547828728 has 128 divisors (see below), whose sum is σ = 105850805598720. Its totient is φ = 13539920908800.

The previous prime is 41478547828723. The next prime is 41478547828789. The reversal of 41478547828728 is 82782874587414.

It is a self number, because there is not a number n which added to its sum of digits gives 41478547828728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41478547828723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068642303 + ... + 2068662353.

It is an arithmetic number, because the mean of its divisors is an integer number (826959418740).

Almost surely, 241478547828728 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 41478547828728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925402799360).

41478547828728 is an abundant number, since it is smaller than the sum of its proper divisors (64372257769992).

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

41478547828728 is a wasteful number, since it uses less digits than its factorization.

41478547828728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23077 (or 23073 counting only the distinct ones).

The product of its digits is 1798307840, while the sum is 75.

The spelling of 41478547828728 in words is "forty-one trillion, four hundred seventy-eight billion, five hundred forty-seven million, eight hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 727 1272 1454 2181 2237 2908 4362 4474 5816 6711 8724 8948 13422 17448 17896 20051 26844 38531 40102 53688 60153 77062 80204 115593 118561 120306 154124 160408 231186 237122 240612 308248 355683 462372 474244 481224 711366 924744 948488 1062703 1422732 1626299 2125406 2845464 3188109 3252598 4250812 4878897 6376218 6505196 8501624 9757794 12752436 13010392 14577077 19515588 25504872 29154154 39031176 43731231 44854087 58308308 86193847 87462462 89708174 116616616 134562261 172387694 174924924 179416348 258581541 269124522 344775388 349849848 358832696 517163082 538249044 689550776 772585081 1034326164 1076498088 1545170162 2068652328 2317755243 2377266611 3090340324 4635510486 4754533222 6180680648 7131799833 9271020972 9509066444 14263599666 18542041944 19018132888 28527199332 32608921249 57054398664 65217842498 97826763747 130435684996 195653527494 260871369992 391307054988 782614109976 1728272826197 3456545652394 5184818478591 6913091304788 10369636957182 13826182609576 20739273914364 41478547828728