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87232295472 = 2437237997859
BaseRepresentation
bin101000100111101110…
…0110011001000110000
322100011100221202021020
41101033130303020300
52412122431423342
6104023550455440
76205461164100
oct1211734631060
9270140852236
1087232295472
1133aa43a1783
1214aa5b04580
1382c25c1aaa
1443174c3200
1524083c10ec
hex144f733230

87232295472 has 120 divisors (see below), whose sum is σ = 262836302400. Its totient is φ = 24857497728.

The previous prime is 87232295461. The next prime is 87232295473. The reversal of 87232295472 is 27459223278.

It is not an unprimeable number, because it can be changed into a prime (87232295473) by changing a digit.

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, 842479 + ... + 940337.

It is an arithmetic number, because the mean of its divisors is an integer number (2190302520).

Almost surely, 287232295472 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 87232295472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131418151200).

87232295472 is an abundant number, since it is smaller than the sum of its proper divisors (175604006928).

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

87232295472 is a wasteful number, since it uses less digits than its factorization.

87232295472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98263 (or 98250 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 87232295472 in words is "eighty-seven billion, two hundred thirty-two million, two hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 379 392 588 758 784 1137 1176 1516 2274 2352 2653 3032 4548 5306 6064 7959 9096 10612 15918 18192 18571 21224 31836 37142 42448 55713 63672 74284 97859 111426 127344 148568 195718 222852 293577 297136 391436 445704 587154 685013 782872 891408 1174308 1370026 1565744 2055039 2348616 2740052 4110078 4697232 4795091 5480104 8220156 9590182 10960208 14385273 16440312 19180364 28770546 32880624 37088561 38360728 57541092 74177122 76721456 111265683 115082184 148354244 222531366 230164368 259619927 296708488 445062732 519239854 593416976 778859781 890125464 1038479708 1557719562 1780250928 1817339489 2076959416 3115439124 3634678978 4153918832 5452018467 6230878248 7269357956 10904036934 12461756496 14538715912 21808073868 29077431824 43616147736 87232295472