Search a number
-
+
64849583068056 = 23334311536055579
BaseRepresentation
bin11101011111010111110000…
…10111001101001110011000
322111121120002221111210102000
432233223320113031032120
531444443421231134211
6345531253122041000
716442141060034363
oct1657537027151630
9274546087453360
1064849583068056
1119732610020366
12733434a1a9160
132a2539bba3bc7
141202a451db0da
15776d46cd9656
hex3afaf85cd398

64849583068056 has 128 divisors (see below), whose sum is σ = 184486878048000. Its totient is φ = 21095502188544.

The previous prime is 64849583068033. The next prime is 64849583068057. The reversal of 64849583068056 is 65086038594846.

64849583068056 is a `hidden beast` number, since 6 + 4 + 8 + 495 + 8 + 3 + 0 + 6 + 80 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64849583068057) 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, 7681275 + ... + 13736853.

It is an arithmetic number, because the mean of its divisors is an integer number (1441303734750).

Almost surely, 264849583068056 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 64849583068056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92243439024000).

64849583068056 is an abundant number, since it is smaller than the sum of its proper divisors (119637294979944).

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

64849583068056 is a wasteful number, since it uses less digits than its factorization.

64849583068056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056790 (or 6056780 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 64849583068056 in words is "sixty-four trillion, eight hundred forty-nine billion, five hundred eighty-three million, sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1153 1161 1548 2306 2322 3096 3459 4612 4644 6918 9224 9288 10377 13836 20754 27672 31131 41508 49579 62262 83016 99158 124524 148737 198316 249048 297474 396632 446211 594948 892422 1189896 1338633 1784844 2677266 3569688 5354532 6055579 10709064 12111158 18166737 24222316 36333474 48444632 54500211 72666948 109000422 145333896 163500633 218000844 260389897 327001266 436001688 520779794 654002532 781169691 1041559588 1308005064 1562339382 2083119176 2343509073 3124678764 4687018146 6249357528 6982082587 7030527219 9374036292 13964165174 14061054438 18748072584 20946247761 27928330348 28122108876 41892495522 55856660696 56244217752 62838743283 83784991044 125677486566 167569982088 188516229849 251354973132 300229551241 377032459698 502709946264 600459102482 754064919396 900688653723 1200918204964 1508129838792 1801377307446 2401836409928 2702065961169 3602754614892 5404131922338 7205509229784 8106197883507 10808263844676 16212395767014 21616527689352 32424791534028 64849583068056