Search a number
-
+
46016287749 = 32233189197409
BaseRepresentation
bin101010110110110010…
…001101010000000101
311101202221202121202200
4222312302031100011
51223220132201444
633050052425113
73216216664215
oct526662152005
9141687677680
1046016287749
1118573aa4083
128b02918199
134454631b43
14232761a245
1512e4c8a969
hexab6c8d405

46016287749 has 96 divisors (see below), whose sum is σ = 72945100800. Its totient is φ = 27867248640.

The previous prime is 46016287727. The next prime is 46016287763. The reversal of 46016287749 is 94778261064.

46016287749 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 628 + 7 + 7 + 4 + 9 = 666.

It is not a de Polignac number, because 46016287749 - 213 = 46016279557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46016287695 and 46016287704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46016287949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112509057 + ... + 112509465.

It is an arithmetic number, because the mean of its divisors is an integer number (759844800).

Almost surely, 246016287749 is an apocalyptic number.

It is an amenable number.

46016287749 is a deficient number, since it is larger than the sum of its proper divisors (26928813051).

46016287749 is a wasteful number, since it uses less digits than its factorization.

46016287749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 46016287749 in words is "forty-six billion, sixteen million, two hundred eighty-seven thousand, seven hundred forty-nine".

Divisors: 1 3 9 23 31 69 89 93 197 207 267 279 409 591 713 801 1227 1773 2047 2139 2759 3681 4531 6107 6141 6417 8277 9407 12679 13593 17533 18321 18423 24831 28221 36401 38037 40779 52599 54963 63457 80573 84663 109203 114111 140461 157797 190371 241719 291617 327609 403259 421383 543523 571113 725157 837223 874851 1128431 1209777 1264149 1630569 1853179 2497763 2511669 2624553 3385293 3629331 4891707 5559537 7170997 7493289 7535007 10155879 12501029 16678611 21512991 22479867 25953913 37503087 57448549 64538973 77861739 112509261 164932931 172345647 222300907 233585217 494798793 517036941 666902721 1484396379 2000708163 5112920861 15338762583 46016287749