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43330969728 = 273261332
BaseRepresentation
bin101000010110101110…
…100010000010000000
311010211210212022221200
4220112232202002000
51202220212012403
631523405021200
73062532110544
oct502656420200
9133753768850
1043330969728
1117416225992
128493554800
1341171b9077
142150b29a24
1511d9155ca3
hexa16ba2080

43330969728 has 72 divisors (see below), whose sum is σ = 124709713245. Its totient is φ = 14441301504.

The previous prime is 43330969723. The next prime is 43330969729. The reversal of 43330969728 is 82796903334.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

43330969728 is a `hidden beast` number, since 433 + 30 + 96 + 97 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29257418304 + 14073551424 = 171048^2 + 118632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=147192.

It is not an unprimeable number, because it can be changed into a prime (43330969723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7062150 + ... + 7068282.

Almost surely, 243330969728 is an apocalyptic number.

43330969728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43330969728 is an abundant number, since it is smaller than the sum of its proper divisors (81378743517).

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

43330969728 is an frugal number, since it uses more digits than its factorization.

43330969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 43330969728 in words is "forty-three billion, three hundred thirty million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 6133 12266 18399 24532 36798 49064 55197 73596 98128 110394 147192 196256 220788 294384 392512 441576 588768 785024 883152 1177536 1766304 2355072 3532608 7065216 37613689 75227378 112841067 150454756 225682134 300909512 338523201 451364268 601819024 677046402 902728536 1203638048 1354092804 1805457072 2407276096 2708185608 3610914144 4814552192 5416371216 7221828288 10832742432 14443656576 21665484864 43330969728