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43486543872 = 22934
BaseRepresentation
bin101000100000000000…
…000000000000000000
311011020122121022120000
4220200000000000000
51203030023400442
631551043320000
73066431344512
oct504000000000
9134218538500
1043486543872
1117496025062
128517680000
1341404ba185
142167665bb2
1511e7b36d4c
hexa20000000

43486543872 has 150 divisors (see below), whose sum is σ = 129922760583. Its totient is φ = 14495514624.

The previous prime is 43486543819. The next prime is 43486543897. The reversal of 43486543872 is 27834568434.

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.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)17.

43486543872 is a `hidden beast` number, since 43 + 48 + 65 + 438 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21743271936 + 21743271936 = 147456^2 + 147456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=147456.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15482880) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 14495514623 + 14495514624 + 14495514625.

Almost surely, 243486543872 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 43486543872

43486543872 is an abundant number, since it is smaller than the sum of its proper divisors (86436216711).

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

43486543872 is an frugal number, since it uses more digits than its factorization.

43486543872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 5 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 43486543872 in words is "forty-three billion, four hundred eighty-six million, five hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 32768 36864 41472 49152 55296 65536 73728 82944 98304 110592 131072 147456 165888 196608 221184 262144 294912 331776 393216 442368 524288 589824 663552 786432 884736 1048576 1179648 1327104 1572864 1769472 2097152 2359296 2654208 3145728 3538944 4194304 4718592 5308416 6291456 7077888 8388608 9437184 10616832 12582912 14155776 16777216 18874368 21233664 25165824 28311552 33554432 37748736 42467328 50331648 56623104 67108864 75497472 84934656 100663296 113246208 134217728 150994944 169869312 201326592 226492416 268435456 301989888 339738624 402653184 452984832 536870912 603979776 679477248 805306368 905969664 1207959552 1358954496 1610612736 1811939328 2415919104 2717908992 3623878656 4831838208 5435817984 7247757312 10871635968 14495514624 21743271936 43486543872