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79832242116 = 223411214272
BaseRepresentation
bin100101001011001011…
…1110101011111000100
321122001122110002110000
41022112113311133010
52301444023221431
6100401402001300
75524213601364
oct1122627653704
9248048402400
1079832242116
1130947246100
121357b7a6230
1376b34591b3
143c1478a9a4
1521238d29e6
hex12965f57c4

79832242116 has 135 divisors (see below), whose sum is σ = 229555363807. Its totient is φ = 24174635760.

The previous prime is 79832242109. The next prime is 79832242129. The reversal of 79832242116 is 61124223897.

The square root of 79832242116 is 282546.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55943395 + ... + 55944821.

Almost surely, 279832242116 is an apocalyptic number.

79832242116 is the 282546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79832242116

79832242116 is an abundant number, since it is smaller than the sum of its proper divisors (149723121691).

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

79832242116 is a wasteful number, since it uses less digits than its factorization.

79832242116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1443 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 79832242116 in words is "seventy-nine billion, eight hundred thirty-two million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1427 1452 1782 2178 2854 3267 3564 4281 4356 5708 6534 8562 9801 12843 13068 15697 17124 19602 25686 31394 38529 39204 47091 51372 62788 77058 94182 115587 141273 154116 172667 188364 231174 282546 345334 423819 462348 518001 565092 690668 847638 1036002 1271457 1554003 1695276 2036329 2072004 2542914 3108006 4072658 4662009 5085828 6108987 6216012 8145316 9324018 12217974 13986027 18326961 18648036 22399619 24435948 27972054 36653922 44799238 54980883 55944108 67198857 73307844 89598476 109961766 134397714 164942649 201596571 219923532 246395809 268795428 329885298 403193142 492791618 604789713 659770596 739187427 806386284 985583236 1209579426 1478374854 1814369139 2217562281 2419158852 2956749708 3628738278 4435124562 6652686843 7257476556 8870249124 13305373686 19958060529 26610747372 39916121058 79832242116