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6042854784 = 27353973061
BaseRepresentation
bin1011010000010111…
…01010010110000000
3120121010200211101110
411220023222112000
544333432323114
62435343203320
7302514263301
oct55013522600
916533624343
106042854784
11262104126a
1212078a6540
13753c21b25
144147a67a8
152557a0759
hex1682ea580

6042854784 has 128 divisors (see below), whose sum is σ = 16528186080. Its totient is φ = 1955266560.

The previous prime is 6042854777. The next prime is 6042854803. The reversal of 6042854784 is 4874582406.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972614 + ... + 1975674.

Almost surely, 26042854784 is an apocalyptic number.

6042854784 is a gapful number since it is divisible by the number (64) 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 6042854784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264093040).

6042854784 is an abundant number, since it is smaller than the sum of its proper divisors (10485331296).

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

6042854784 is a wasteful number, since it uses less digits than its factorization.

6042854784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 6042854784 is about 77735.8011729473. The cubic root of 6042854784 is about 1821.4365729787.

The spelling of 6042854784 in words is "six billion, forty-two million, eight hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 97 106 128 159 192 194 212 291 318 384 388 424 582 636 776 848 1164 1272 1552 1696 2328 2544 3061 3104 3392 4656 5088 5141 6122 6208 6784 9183 9312 10176 10282 12244 12416 15423 18366 18624 20352 20564 24488 30846 36732 37248 41128 48976 61692 73464 82256 97952 123384 146928 162233 164512 195904 246768 293856 296917 324466 329024 391808 486699 493536 587712 593834 648932 658048 890751 973398 987072 1175424 1187668 1297864 1781502 1946796 1974144 2375336 2595728 3563004 3893592 4750672 5191456 7126008 7787184 9501344 10382912 14252016 15574368 15736601 19002688 20765824 28504032 31148736 31473202 38005376 47209803 57008064 62297472 62946404 94419606 114016128 125892808 188839212 251785616 377678424 503571232 755356848 1007142464 1510713696 2014284928 3021427392 6042854784