Search a number
-
+
478827666996 = 2237221111033499
BaseRepresentation
bin1101111011111000101…
…10100101111000110100
31200202221022201202102220
412331330112211320310
530321114340320441
61003545334402340
746410540005100
oct6757426457064
91622838652386
10478827666996
1117508480a328
12789725003b0
13361cb917a93
1419265370900
15c6c6ee4466
hex6f7c5a5e34

478827666996 has 144 divisors (see below), whose sum is σ = 1307392128000. Its totient is φ = 135997202880.

The previous prime is 478827666979. The next prime is 478827667009. The reversal of 478827666996 is 699666728874.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136845255 + ... + 136848753.

It is an arithmetic number, because the mean of its divisors is an integer number (9079112000).

Almost surely, 2478827666996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478827666996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653696064000).

478827666996 is an abundant number, since it is smaller than the sum of its proper divisors (828564461004).

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

478827666996 is a wasteful number, since it uses less digits than its factorization.

478827666996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4825 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 78.

The spelling of 478827666996 in words is "four hundred seventy-eight billion, eight hundred twenty-seven million, six hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 588 633 844 1103 1266 1477 2206 2532 2954 3309 3499 4412 4431 5908 6618 6998 7721 8862 10339 10497 13236 13996 15442 17724 20678 20994 23163 24493 30884 31017 41356 41988 46326 48986 54047 62034 73479 92652 97972 108094 124068 146958 162141 171451 216188 232733 293916 324282 342902 465466 514353 648564 685804 698199 738289 930932 1028706 1396398 1476578 1629131 2057412 2214867 2792796 2953156 3258262 3859397 4429734 4887393 5168023 6516524 7718794 8859468 9774786 10336046 11403917 11578191 15437588 15504069 19549572 20672092 22807834 23156382 27015779 31008138 34211751 36176161 45615668 46312764 54031558 62016276 68423502 72352322 81047337 108063116 108528483 136847004 144704644 162094674 189110453 217056966 324189348 378220906 434113932 567331359 756441812 814332767 1134662718 1628665534 2269325436 2442998301 3257331068 4885996602 5700329369 9771993204 11400658738 17100988107 22801317476 34201976214 39902305583 68403952428 79804611166 119706916749 159609222332 239413833498 478827666996