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87874302096 = 24327235292
BaseRepresentation
bin101000111010110110…
…1110111000010010000
322101211010000001210100
41101311231313002100
52414431310131341
6104211403132400
76230415146400
oct1216555670220
9271733001710
1087874302096
11342a3830869
1215044b14100
138395607679
144378882800
15244493a3b6
hex1475b77090

87874302096 has 135 divisors (see below), whose sum is σ = 286158269241. Its totient is φ = 25099828992.

The previous prime is 87874302091. The next prime is 87874302137. The reversal of 87874302096 is 69020347878.

The square root of 87874302096 is 296436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8214884496 + 79659417600 = 90636^2 + 282240^2 .

It is not an unprimeable number, because it can be changed into a prime (87874302091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24898860 + ... + 24902388.

Almost surely, 287874302096 is an apocalyptic number.

87874302096 is the 296436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87874302096

87874302096 is an abundant number, since it is smaller than the sum of its proper divisors (198283967145).

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

87874302096 is an equidigital number, since it uses as much as digits as its factorization.

87874302096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 87874302096 in words is "eighty-seven billion, eight hundred seventy-four million, three hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 3529 7056 7058 10587 14116 21174 24703 28232 31761 42348 49406 56464 63522 74109 84696 98812 127044 148218 169392 172921 197624 222327 254088 296436 345842 395248 444654 508176 518763 592872 691684 889308 1037526 1185744 1383368 1556289 1778616 2075052 2766736 3112578 3557232 4150104 6225156 8300208 12450312 12453841 24900624 24907682 37361523 49815364 74723046 87176887 99630728 112084569 149446092 174353774 199261456 224169138 261530661 298892184 348707548 448338276 523061322 597784368 610238209 697415096 784591983 896676552 1046122644 1220476418 1394830192 1569183966 1793353104 1830714627 2092245288 2440952836 3138367932 3661429254 4184490576 4881905672 5492143881 6276735864 7322858508 9763811344 10984287762 12553471728 14645717016 21968575524 29291434032 43937151048 87874302096