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4682841984 = 2734451663
BaseRepresentation
bin1000101110001111…
…00111111110000000
3110002100121000120000
410113013213332000
534042301420414
62052401320000
7224021333352
oct42707477600
913070530500
104682841984
111a93384547
12aa8336000
13598234122
14325d030d2
151c61a8b09
hex1171e7f80

4682841984 has 80 divisors (see below), whose sum is σ = 13936092720. Its totient is φ = 1560943872.

The previous prime is 4682841971. The next prime is 4682841997. The reversal of 4682841984 is 4891482864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4682841971) and next prime (4682841997).

It is a super-2 number, since 2×46828419842 = 43858018094226112512, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4682841984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 215464 + ... + 236199.

It is an arithmetic number, because the mean of its divisors is an integer number (174201159).

Almost surely, 24682841984 is an apocalyptic number.

It is an amenable number.

4682841984 is an abundant number, since it is smaller than the sum of its proper divisors (9253250736).

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

4682841984 is an equidigital number, since it uses as much as digits as its factorization.

4682841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451689 (or 451668 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4682841984 is about 68431.2938939488. The cubic root of 4682841984 is about 1673.0278395903.

The spelling of 4682841984 in words is "four billion, six hundred eighty-two million, eight hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 451663 903326 1354989 1806652 2709978 3613304 4064967 5419956 7226608 8129934 10839912 12194901 14453216 16259868 21679824 24389802 28906432 32519736 36584703 43359648 48779604 57812864 65039472 73169406 86719296 97559208 130078944 146338812 173438592 195118416 260157888 292677624 390236832 520315776 585355248 780473664 1170710496 1560947328 2341420992 4682841984