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5385605406 = 2317181487599
BaseRepresentation
bin1010000010000000…
…11101000100011110
3111220022222002201220
411001000131010132
542012203333111
62250224114210
7250313614326
oct50100350436
914808862656
105385605406
112314041065
121063765966
1367aa0027c
1439139a286
15217c24e06
hex14101d11e

5385605406 has 64 divisors (see below), whose sum is σ = 11510553600. Its totient is φ = 1674017280.

The previous prime is 5385605377. The next prime is 5385605419. The reversal of 5385605406 is 6045065835.

It is a happy number.

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, 8990695 + ... + 8991293.

It is an arithmetic number, because the mean of its divisors is an integer number (179852400).

Almost surely, 25385605406 is an apocalyptic number.

5385605406 is an abundant number, since it is smaller than the sum of its proper divisors (6124948194).

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

5385605406 is a wasteful number, since it uses less digits than its factorization.

5385605406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289.

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5385605406 is about 73386.6841191234. The cubic root of 5385605406 is about 1752.8503650386.

The spelling of 5385605406 in words is "five billion, three hundred eighty-five million, six hundred five thousand, four hundred six".

Divisors: 1 2 3 6 17 34 51 102 181 362 487 543 599 974 1086 1198 1461 1797 2922 3077 3594 6154 8279 9231 10183 16558 18462 20366 24837 30549 49674 61098 88147 108419 176294 216838 264441 291713 325257 528882 583426 650514 875139 1498499 1750278 1843123 2996998 3686246 4495497 4959121 5529369 8990994 9918242 11058738 14877363 29754726 52800053 105600106 158400159 316800318 897600901 1795201802 2692802703 5385605406