Search a number
-
+
46508104320612 = 223119710335265151
BaseRepresentation
bin10101001001100100000110…
…00010011000011001100100
320002200010112202101102022220
422210302003002120121210
522043442044201224422
6242525310030152340
712540046116033264
oct1244620302303144
9202603482342286
1046508104320612
1113900a81474a50
1252716ba0526b0
131cc4906ab26bc
14b6b00b98d7a4
15559bb103ce5c
hex2a4c83098664

46508104320612 has 96 divisors (see below), whose sum is σ = 120765936205824. Its totient is φ = 13812653952000.

The previous prime is 46508104320611. The next prime is 46508104320619. The reversal of 46508104320612 is 21602340180564.

It is a super-3 number, since 3×465081043206123 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46508104320611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16313764 + ... + 18951387.

It is an arithmetic number, because the mean of its divisors is an integer number (1257978502144).

Almost surely, 246508104320612 is an apocalyptic number.

It is an amenable number.

46508104320612 is an abundant number, since it is smaller than the sum of its proper divisors (74257831885212).

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

46508104320612 is a wasteful number, since it uses less digits than its factorization.

46508104320612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35265369 (or 35265367 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 46508104320612 in words is "forty-six trillion, five hundred eight billion, one hundred four million, three hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 103 132 194 206 291 309 388 412 582 618 1067 1133 1164 1236 2134 2266 3201 3399 4268 4532 6402 6798 9991 12804 13596 19982 29973 39964 59946 109901 119892 219802 329703 439604 659406 1318812 35265151 70530302 105795453 141060604 211590906 387916661 423181812 775833322 1163749983 1551666644 2327499966 3420719647 3632310553 4654999932 6841439294 7264621106 10262158941 10896931659 13682878588 14529242212 20524317882 21793863318 37627916117 39955416083 41048635764 43587726636 75255832234 79910832166 112883748351 119866248249 150511664468 159821664332 225767496702 239732496498 352334123641 451534993404 479464992996 704668247282 1057002370923 1409336494564 2114004741846 3875675360051 4228009483692 7751350720102 11627026080153 15502701440204 23254052160306 46508104320612