Search a number
-
+
41484654486 = 232113743912899
BaseRepresentation
bin100110101000101011…
…011001011110010110
310222002010200210120200
4212220223121132112
51134430032420421
631020252041330
72666012513352
oct465053313626
9128063623520
1041484654486
1116659007a20
128059163246
133bb1830b42
142017838462
15112beee726
hex9a8ad9796

41484654486 has 96 divisors (see below), whose sum is σ = 100941984000. Its totient is φ = 12202539840.

The previous prime is 41484654479. The next prime is 41484654487. The reversal of 41484654486 is 68445648414.

41484654486 is a `hidden beast` number, since 4 + 14 + 8 + 4 + 6 + 544 + 86 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41484654487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209665 + ... + 3222563.

It is an arithmetic number, because the mean of its divisors is an integer number (1051479000).

Almost surely, 241484654486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41484654486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50470992000).

41484654486 is an abundant number, since it is smaller than the sum of its proper divisors (59457329514).

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

41484654486 is a wasteful number, since it uses less digits than its factorization.

41484654486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13394 (or 13391 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 41484654486 in words is "forty-one billion, four hundred eighty-four million, six hundred fifty-four thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 439 666 814 878 1221 1317 2442 2634 3663 3951 4829 7326 7902 9658 12899 14487 16243 25798 28974 32486 38697 43461 48729 77394 86922 97458 116091 141889 146187 178673 232182 283778 292374 357346 425667 477263 536019 851334 954526 1072038 1277001 1431789 1608057 2554002 2863578 3216114 4295367 5249893 5662661 8590734 10499786 11325322 15749679 16987983 31499358 33975966 47249037 50963949 62289271 94498074 101927898 124578542 186867813 209518457 373735626 419036914 560603439 628555371 1121206878 1257110742 1885666113 2304703027 3771332226 4609406054 6914109081 13828218162 20742327243 41484654486