Search a number
-
+
31581284436 = 2232133710317707
BaseRepresentation
bin11101011010011001…
…000010100001010100
310000111221202110211100
4131122121002201110
51004134302100221
622301440310100
72165420326362
oct353231024124
9100457673740
1031581284436
11124368a2479
126154612330
132c93b77270
14175846a632
15c4c87c926
hex75a642854

31581284436 has 144 divisors (see below), whose sum is σ = 89157088384. Its totient is φ = 9362366208.

The previous prime is 31581284407. The next prime is 31581284453. The reversal of 31581284436 is 63448218513.

31581284436 is a `hidden beast` number, since 3 + 1 + 581 + 28 + 4 + 43 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31581284391 and 31581284400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774695 + ... + 1792401.

Almost surely, 231581284436 is an apocalyptic number.

31581284436 is a gapful number since it is divisible by the number (36) 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 31581284436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44578544192).

31581284436 is an abundant number, since it is smaller than the sum of its proper divisors (57575803948).

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

31581284436 is a wasteful number, since it uses less digits than its factorization.

31581284436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17865 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 31581284436 in words is "thirty-one billion, five hundred eighty-one million, two hundred eighty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 103 111 117 148 156 206 222 234 309 333 412 444 468 481 618 666 927 962 1236 1332 1339 1443 1854 1924 2678 2886 3708 3811 4017 4329 5356 5772 7622 8034 8658 11433 12051 15244 16068 17316 17707 22866 24102 34299 35414 45732 48204 49543 53121 68598 70828 99086 106242 137196 148629 159363 198172 212484 230191 297258 318726 445887 460382 594516 637452 655159 690573 891774 920764 1310318 1381146 1783548 1823821 1965477 2071719 2620636 2762292 3647642 3930954 4143438 5471463 5896431 7295284 7861908 8286876 8517067 10942926 11792862 16414389 17034134 21885852 23585724 23709673 25551201 32828778 34068268 47419346 51102402 65657556 67481377 71129019 76653603 94838692 102204804 134962754 142258038 153307206 202444131 213387057 269925508 284516076 306614412 404888262 426774114 607332393 809776524 853548228 877257901 1214664786 1754515802 2429329572 2631773703 3509031604 5263547406 7895321109 10527094812 15790642218 31581284436