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180232074902916 = 2232232972832
BaseRepresentation
bin101000111110101110001100…
…110011010011110110000100
3212122011000111012001010111100
4220332232030303103312010
5142110410242133343131
61435153245553540100
752651223555354241
oct5076561463236604
9778130435033440
10180232074902916
1152477aa2707843
121826a225274630
137974a72500b0a
1432713c96c85c8
1515c83b35127e6
hexa3eb8ccd3d84

180232074902916 has 81 divisors (see below), whose sum is σ = 476260866287479. Its totient is φ = 57464708542032.

The previous prime is 180232074902909. The next prime is 180232074902917. The reversal of 180232074902916 is 619209470232081.

The square root of 180232074902916 is 13425054.

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

180232074902916 is a `hidden beast` number, since 1 + 80 + 2 + 320 + 74 + 90 + 2 + 91 + 6 = 666.

It is a super-3 number, since 3×1802320749029163 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180232074902917) 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, 1852608811 + ... + 1852706093.

Almost surely, 2180232074902916 is an apocalyptic number.

180232074902916 is the 13425054-th square number.

It is an amenable number.

180232074902916 is an abundant number, since it is smaller than the sum of its proper divisors (296028791384563).

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

180232074902916 is an frugal number, since it uses more digits than its factorization.

180232074902916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194622 (or 97311 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 180232074902916 in words is "one hundred eighty trillion, two hundred thirty-two billion, seventy-four million, nine hundred two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 97283 194566 291849 389132 583698 875547 1167396 1751094 2237509 3502188 4475018 6712527 8950036 13425054 20137581 26850108 40275162 51462707 80550324 102925414 154388121 205850828 308776242 463164363 617552484 926328726 1852657452 9463982089 18927964178 28391946267 37855928356 56783892534 85175838801 113567785068 170351677602 217671588047 340703355204 435343176094 653014764141 870686352188 1306029528282 1959044292423 2612059056564 3918088584846 5006446525081 7836177169692 10012893050162 15019339575243 20025786100324 30038679150486 45058018725729 60077358300972 90116037451458 180232074902916