Search a number
-
+
489221101122984 = 233319379116874581
BaseRepresentation
bin110111100111100011010100…
…1111100101111010110101000
32101011012002011200200202122000
41233033012221330233112220
51003110344303341413414
64452253023214331000
7205022025643263246
oct15717065174572650
92334162150622560
10489221101122984
1113197655a68607a
1246a523b0ab9a60
1317cc947611b5b9
1488b45db5dd796
153b85b6be3cb09
hex1bcf1a9f2f5a8

489221101122984 has 64 divisors (see below), whose sum is σ = 1359017639496000. Its totient is φ = 163065284009280.

The previous prime is 489221101122899. The next prime is 489221101122997.

489221101122984 is a `hidden beast` number, since 4 + 8 + 9 + 221 + 10 + 112 + 298 + 4 = 666.

489221101122984 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 489221101122984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54251427 + ... + 62623154.

It is an arithmetic number, because the mean of its divisors is an integer number (21234650617125).

Almost surely, 2489221101122984 is an apocalyptic number.

It is an amenable number.

489221101122984 is an abundant number, since it is smaller than the sum of its proper divisors (869796538373016).

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

489221101122984 is a wasteful number, since it uses less digits than its factorization.

489221101122984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116893975 (or 116893965 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 489221101122984 in words is "four hundred eighty-nine trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 19379 38758 58137 77516 116274 155032 174411 232548 348822 465096 523233 697644 1046466 1395288 2092932 4185864 116874581 233749162 350623743 467498324 701247486 934996648 1051871229 1402494972 2103742458 2804989944 3155613687 4207484916 6311227374 8414969832 12622454748 25244909496 2264912505199 4529825010398 6794737515597 9059650020796 13589475031194 18119300041592 20384212546791 27178950062388 40768425093582 54357900124776 61152637640373 81536850187164 122305275280746 163073700374328 244610550561492 489221101122984