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5384774835 = 3351123374261
BaseRepresentation
bin1010000001111010…
…10010010010110011
3111220021101220102000
411000331102102303
542012000243320
62250154225043
7250303554666
oct50075222263
914807356360
105384774835
112313624040
121063425183
1367a79c1cb
143912216dd
15217b0dc90
hex140f524b3

5384774835 has 128 divisors (see below), whose sum is σ = 11194398720. Its totient is φ = 2429222400.

The previous prime is 5384774831. The next prime is 5384774851.

5384774835 = 152902 + 152912 + ... + 153122.

It is a happy number.

5384774835 is a `hidden beast` number, since 538 + 4 + 7 + 74 + 8 + 35 = 666.

5384774835 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5384774835 - 22 = 5384774831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5384774831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1261605 + ... + 1265865.

It is an arithmetic number, because the mean of its divisors is an integer number (87456240).

Almost surely, 25384774835 is an apocalyptic number.

5384774835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5384774835 is an abundant number, since it is smaller than the sum of its proper divisors (5809623885).

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

5384774835 is a wasteful number, since it uses less digits than its factorization.

5384774835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4340 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5384774835 is about 73381.0250337238. The cubic root of 5384774835 is about 1752.7602518933.

The spelling of 5384774835 in words is "five billion, three hundred eighty-four million, seven hundred seventy-four thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 11 15 23 27 33 37 45 55 69 99 111 115 135 165 185 207 253 297 333 345 407 495 555 621 759 851 999 1035 1221 1265 1485 1665 2035 2277 2553 3105 3663 3795 4255 4261 4995 6105 6831 7659 9361 10989 11385 12765 12783 18315 21305 22977 28083 34155 38295 38349 46805 46871 54945 63915 84249 98003 114885 115047 140415 140613 157657 191745 234355 252747 294009 421245 421839 472971 490015 575235 703065 788285 882027 1078033 1263735 1265517 1418913 1470045 1734227 2109195 2364855 2646081 3234099 3626111 4256739 4410135 5202681 5390165 6327585 7094565 8671135 9702297 10878333 13230405 15608043 16170495 18130555 21283695 26013405 29106891 32634999 39887221 46824129 48511485 54391665 78040215 97904997 119661663 145534455 163174995 199436105 234120645 358984989 489524985 598308315 1076954967 1794924945 5384774835