Search a number
-
+
86995535046 = 2375971643769
BaseRepresentation
bin101000100000101010…
…1101000010011000110
322022112212110002000120
41101001111220103012
52411131324110141
6103544252122410
76166554563340
oct1210125502306
9268485402016
1086995535046
1133992791102
1214a3a766406
138285536674
1442d3c92290
1523e2704c66
hex14415684c6

86995535046 has 128 divisors (see below), whose sum is σ = 205651353600. Its totient is φ = 24021688320.

The previous prime is 86995534993. The next prime is 86995535063. The reversal of 86995535046 is 64053559968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113127750 + ... + 113128518.

It is an arithmetic number, because the mean of its divisors is an integer number (1606651200).

Almost surely, 286995535046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86995535046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102825676800).

86995535046 is an abundant number, since it is smaller than the sum of its proper divisors (118655818554).

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

86995535046 is a wasteful number, since it uses less digits than its factorization.

86995535046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554.

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 86995535046 in words is "eighty-six billion, nine hundred ninety-five million, five hundred thirty-five thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 59 71 118 142 177 213 354 413 426 497 643 769 826 994 1239 1286 1491 1538 1929 2307 2478 2982 3858 4189 4501 4614 5383 8378 9002 10766 12567 13503 16149 25134 27006 29323 32298 37937 45371 45653 54599 58646 75874 87969 90742 91306 109198 113811 136113 136959 163797 175938 227622 265559 272226 273918 317597 319571 327594 382193 494467 531118 635194 639142 764386 796677 952791 958713 988934 1146579 1483401 1593354 1905582 1917426 2293158 2693527 2966802 3221341 3461269 5387054 6442682 6922538 8080581 9664023 10383807 16161162 18854689 19328046 20767614 22549387 29173553 35107157 37709378 45098774 56564067 58347106 67648161 70214314 87520659 105321471 113128134 135296322 175041318 204214871 210642942 245750099 408429742 491500198 612644613 737250297 1225289226 1474500594 2071322263 4142644526 6213966789 12427933578 14499255841 28998511682 43497767523 86995535046