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96127281936 = 24327236912
BaseRepresentation
bin101100110000110100…
…0011110101100010000
3100012010021102212210100
41121201220132230100
53033332041010221
6112054341132400
76642060262200
oct1314150365420
9305107385710
1096127281936
1137849387764
12167689ba100
1390ac3945aa
14491c9a0400
152779257926
hex1661a1eb10

96127281936 has 135 divisors (see below), whose sum is σ = 313029790983. Its totient is φ = 27457496640.

The previous prime is 96127281893. The next prime is 96127281937. The reversal of 96127281936 is 63918272169.

The square root of 96127281936 is 310044.

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

96127281936 is a `hidden beast` number, since 9 + 612 + 7 + 2 + 8 + 19 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96127281937) 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, 26041851 + ... + 26045541.

Almost surely, 296127281936 is an apocalyptic number.

96127281936 is the 310044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96127281936

96127281936 is an abundant number, since it is smaller than the sum of its proper divisors (216902509047).

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

96127281936 is an equidigital number, since it uses as much as digits as its factorization.

96127281936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 3703 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 96127281936 in words is "ninety-six billion, one hundred twenty-seven million, two hundred eighty-one thousand, nine hundred thirty-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 3691 7056 7382 11073 14764 22146 25837 29528 33219 44292 51674 59056 66438 77511 88584 103348 132876 155022 177168 180859 206696 232533 265752 310044 361718 413392 465066 531504 542577 620088 723436 930132 1085154 1240176 1446872 1627731 1860264 2170308 2893744 3255462 3720528 4340616 6510924 8681232 13021848 13623481 26043696 27246962 40870443 54493924 81740886 95364367 108987848 122611329 163481772 190728734 217975696 245222658 286093101 326963544 381457468 490445316 572186202 653927088 667550569 762914936 858279303 980890632 1144372404 1335101138 1525829872 1716558606 1961781264 2002651707 2288744808 2670202276 3433117212 4005303414 4577489616 5340404552 6007955121 6866234424 8010606828 10680809104 12015910242 13732468848 16021213656 24031820484 32042427312 48063640968 96127281936