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585047102420 = 2251122310511087
BaseRepresentation
bin10001000001101111000…
…01100101001111010100
32001221002221100011011202
420200313201211033110
534041134024234140
61124433353452032
760161004214304
oct10406741451724
92057087304152
10585047102420
11206131923300
1295477111018
1343228ac3a11
1420460401604
151034225e915
hex88378653d4

585047102420 has 72 divisors (see below), whose sum is σ = 1409158501632. Its totient is φ = 203494624960.

The previous prime is 585047102399. The next prime is 585047102447. The reversal of 585047102420 is 24201740585.

It is a super-2 number, since 2×5850471024202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5199884 + ... + 5311203.

It is an arithmetic number, because the mean of its divisors is an integer number (19571645856).

Almost surely, 2585047102420 is an apocalyptic number.

It is an amenable number.

585047102420 is an abundant number, since it is smaller than the sum of its proper divisors (824111399212).

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

585047102420 is a wasteful number, since it uses less digits than its factorization.

585047102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511141 (or 10511128 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 585047102420 in words is "five hundred eighty-five billion, forty-seven million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 55660 10511087 21022174 42044348 52555435 105110870 115621957 210221740 231243914 241755001 462487828 483510002 578109785 967020004 1156219570 1208775005 1271841527 2312439140 2417550010 2543683054 2659305011 4835100020 5087366108 5318610022 6359207635 10637220044 12718415270 13296525055 25436830540 26593050110 29252355121 53186100220 58504710242 117009420484 146261775605 292523551210 585047102420