Search a number
-
+
46443173016 = 23323592835039
BaseRepresentation
bin101011010000001110…
…101001010010011000
311102212201000122021010
4223100032221102120
51230103423014031
633200302213520
73232622312532
oct532016512230
9142781018233
1046443173016
1118772a62319
1290018842a0
1344c1bc7786
1423681bc852
15131c4b0246
hexad03a9498

46443173016 has 128 divisors (see below), whose sum is σ = 123669504000. Its totient is φ = 14502668928.

The previous prime is 46443172991. The next prime is 46443173107. The reversal of 46443173016 is 61037134464.

It is a super-2 number, since 2×464431730162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9214225 + ... + 9219263.

It is an arithmetic number, because the mean of its divisors is an integer number (966168000).

Almost surely, 246443173016 is an apocalyptic number.

46443173016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46443173016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61834752000).

46443173016 is an abundant number, since it is smaller than the sum of its proper divisors (77226330984).

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

46443173016 is a wasteful number, since it uses less digits than its factorization.

46443173016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 46443173016 in words is "forty-six billion, four hundred forty-three million, one hundred seventy-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 283 354 472 552 566 708 849 1132 1357 1416 1698 2264 2714 3396 4071 5039 5428 6509 6792 8142 10078 10856 13018 15117 16284 16697 19527 20156 26036 30234 32568 33394 39054 40312 50091 52072 60468 66788 78108 100182 115897 120936 133576 156216 200364 231794 297301 347691 384031 400728 463588 594602 695382 768062 891903 927176 1152093 1189204 1390764 1426037 1536124 1783806 2304186 2378408 2781528 2852074 3072248 3567612 4278111 4608372 5704148 6837923 7135224 8556222 9216744 11408296 13675846 17112444 20513769 27351692 32798851 34224888 41027538 54703384 65597702 82055076 84136183 98396553 131195404 164110152 168272366 196793106 252408549 262390808 336544732 393586212 504817098 673089464 787172424 1009634196 1935132209 2019268392 3870264418 5805396627 7740528836 11610793254 15481057672 23221586508 46443173016