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9871217316 = 22322925712
BaseRepresentation
bin10010011000101111…
…01101001010100100
3221110221102210111100
421030113231022210
5130204012423231
64311302240100
7466421651142
oct111427551244
927427383440
109871217316
114206054744
121ab5a26030
13c14109abc
14698ddc592
153cb9201e6
hex24c5ed2a4

9871217316 has 81 divisors (see below), whose sum is σ = 25887672993. Its totient is φ = 3171379680.

The previous prime is 9871217311. The next prime is 9871217327. The reversal of 9871217316 is 6137121789.

The square root of 9871217316 is 99354.

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., 5176226916 + 4694990400 = 71946^2 + 68520^2 .

It is not an unprimeable number, because it can be changed into a prime (9871217311) 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, 17287311 + ... + 17287881.

Almost surely, 29871217316 is an apocalyptic number.

9871217316 is the 99354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9871217316

9871217316 is an abundant number, since it is smaller than the sum of its proper divisors (16016455677).

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

9871217316 is a wasteful number, since it uses less digits than its factorization.

9871217316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The cubic root of 9871217316 is about 2145.1462393980.

The spelling of 9871217316 in words is "nine billion, eight hundred seventy-one million, two hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 571 841 1044 1142 1682 1713 2284 2523 3364 3426 5046 5139 6852 7569 10092 10278 15138 16559 20556 30276 33118 49677 66236 99354 149031 198708 298062 326041 480211 596124 652082 960422 978123 1304164 1440633 1920844 1956246 2881266 2934369 3912492 4321899 5762532 5868738 8643798 9455189 11737476 17287596 18910378 28365567 37820756 56731134 85096701 113462268 170193402 274200481 340386804 548400962 822601443 1096801924 1645202886 2467804329 3290405772 4935608658 9871217316