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47414206080 = 273258231633
BaseRepresentation
bin101100001010000110…
…110101111010000000
311112101101012020012200
4230022012311322000
51234101014043310
633440510553200
73265653046653
oct541206657200
9145341166180
1047414206080
11191210a088a
129232b08800
134618131c57
14241b14989a
15137786d9c0
hexb0a1b5e80

47414206080 has 96 divisors (see below), whose sum is σ = 163727200260. Its totient is φ = 12643786752.

The previous prime is 47414206069. The next prime is 47414206109. The reversal of 47414206080 is 8060241474.

47414206080 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 42 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46728604224 + 685601856 = 216168^2 + 26184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4110057 + ... + 4121576.

Almost surely, 247414206080 is an apocalyptic number.

47414206080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47414206080 is an abundant number, since it is smaller than the sum of its proper divisors (116312994180).

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

47414206080 is a wasteful number, since it uses less digits than its factorization.

47414206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231658 (or 8231643 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 47414206080 in words is "forty-seven billion, four hundred fourteen million, two hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 8231633 16463266 24694899 32926532 41158165 49389798 65853064 74084697 82316330 98779596 123474495 131706128 148169394 164632660 197559192 246948990 263412256 296338788 329265320 370423485 395118384 493897980 526824512 592677576 658530640 740846970 790236768 987795960 1053649024 1185355152 1317061280 1481693940 1580473536 1975591920 2370710304 2634122560 2963387880 3160947072 3951183840 4741420608 5268245120 5926775760 7902367680 9482841216 11853551520 15804735360 23707103040 47414206080