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47424824856 = 23328337920939
BaseRepresentation
bin101100001010101111…
…010110011000011000
311112102010011201102200
4230022233112120120
51234111223343411
633441530330200
73266142234333
oct541257263030
9145363151380
1047424824856
1119127093932
129236589960
13461a3ac356
14241c71161a
151378769e56
hexb0abd6618

47424824856 has 96 divisors (see below), whose sum is σ = 130338936000. Its totient is φ = 15575861952.

The previous prime is 47424824849. The next prime is 47424824921. The reversal of 47424824856 is 65842842474.

It is a happy number.

47424824856 is a `hidden beast` number, since 4 + 74 + 2 + 482 + 48 + 56 = 666.

It is a super-2 number, since 2×474248248562 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2254435 + ... + 2275373.

It is an arithmetic number, because the mean of its divisors is an integer number (1357697250).

Almost surely, 247424824856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47424824856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169468000).

47424824856 is an abundant number, since it is smaller than the sum of its proper divisors (82914111144).

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

47424824856 is a wasteful number, since it uses less digits than its factorization.

47424824856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21413 (or 21406 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The spelling of 47424824856 in words is "forty-seven billion, four hundred twenty-four million, eight hundred twenty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 379 498 664 747 758 996 1137 1494 1516 1992 2274 2988 3032 3411 4548 5976 6822 9096 13644 20939 27288 31457 41878 62817 62914 83756 94371 125634 125828 167512 188451 188742 251268 251656 283113 376902 377484 502536 566226 753804 754968 1132452 1507608 1737937 2264904 3475874 5213811 6951748 7935881 10427622 13903496 15641433 15871762 20855244 23807643 31282866 31743524 41710488 47615286 62565732 63487048 71422929 95230572 125131464 142845858 190461144 285691716 571383432 658678123 1317356246 1976034369 2634712492 3952068738 5269424984 5928103107 7904137476 11856206214 15808274952 23712412428 47424824856