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484287782484 = 223114779797943
BaseRepresentation
bin1110000110000011100…
…11010001111001010100
31201022000211220100210110
413003001303101321110
530413310133014414
61010251223523020
746663050142122
oct7030163217124
91638024810713
10484287782484
11177426911970
1279a36bb9470
133688bba564c
14196225a4912
15c8e6536459
hex70c1cd1e54

484287782484 has 96 divisors (see below), whose sum is σ = 1260553383936. Its totient is φ = 143449770880.

The previous prime is 484287782401. The next prime is 484287782491.

484287782484 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 4895617 + ... + 4993559.

It is an arithmetic number, because the mean of its divisors is an integer number (13130764416).

Almost surely, 2484287782484 is an apocalyptic number.

484287782484 is a gapful number since it is divisible by the number (44) 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 484287782484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630276691968).

484287782484 is an abundant number, since it is smaller than the sum of its proper divisors (776265601452).

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

484287782484 is a wasteful number, since it uses less digits than its factorization.

484287782484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98805 (or 98803 counting only the distinct ones).

The product of its digits is 205520896, while the sum is 66.

The spelling of 484287782484 in words is "four hundred eighty-four billion, two hundred eighty-seven million, seven hundred eighty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 797 1034 1551 1594 2068 2391 3102 3188 4782 6204 8767 9564 17534 26301 35068 37459 52602 74918 97943 105204 112377 149836 195886 224754 293829 391772 412049 449508 587658 824098 1077373 1175316 1236147 1648196 2154746 2472294 3232119 4309492 4603321 4944588 6464238 9206642 12928476 13809963 18413284 27619926 50636531 55239852 78060571 101273062 151909593 156121142 202546124 234181713 303819186 312242284 468363426 607638372 858666281 936726852 1717332562 2575998843 3434665124 3668846837 5151997686 7337693674 10303995372 11006540511 14675387348 22013081022 40357315207 44026162044 80714630414 121071945621 161429260828 242143891242 484287782484