Search a number
-
+
75202560707481 = 31012722812
BaseRepresentation
bin10001000110010101110101…
…111010101100101110011001
3100212021021221202110000000000
4101012111311322230232121
534324104321020114411
6423535325055003213
721561130363012524
oct2106256572545631
9325237852400000
1075202560707481
1121a64254aa1259
128526915509509
1332c675678355c
14147db75423bbb
158a62d03a9956
hex446575eacb99

75202560707481 has 99 divisors (see below), whose sum is σ = 114104472915423. Its totient is φ = 49563264713760.

The previous prime is 75202560707471. The next prime is 75202560707497. The reversal of 75202560707481 is 18470706520257.

The square root of 75202560707481 is 8671941.

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

75202560707481 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 2 + 560 + 7 + 0 + 74 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50821086889881 + 24381473817600 = 7128891^2 + 4937760^2 .

It is a de Polignac number, because none of the positive numbers 2k-75202560707481 is a prime.

It is a super-2 number, since 2×752025607074812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75202560707401) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 267624771061 + ... + 267624771341.

Almost surely, 275202560707481 is an apocalyptic number.

75202560707481 is the 8671941-st square number.

75202560707481 is the 4335971-st centered octagonal number.

It is an amenable number.

75202560707481 is a deficient number, since it is larger than the sum of its proper divisors (38901912207942).

75202560707481 is an frugal number, since it uses more digits than its factorization.

75202560707481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 75202560707481 in words is "seventy-five trillion, two hundred two billion, five hundred sixty million, seven hundred seven thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 127 243 281 381 729 843 1143 2187 2529 3429 6561 7587 10287 16129 19683 22761 30861 35687 48387 59049 68283 78961 92583 107061 145161 204849 236883 277749 321183 435483 614547 710649 833247 963549 1306449 1843641 2131947 2499741 2890647 3919347 4532249 5530923 6395841 7499223 8671941 10028047 11758041 13596747 16592769 19187523 26015823 30084141 35274123 40790241 57562569 78047469 90252423 105822369 122370723 172687707 234142407 270757269 317467107 367112169 518063121 702427221 812271807 952401321 1101336507 1273561969 1554189363 2107281663 2436815421 3304009521 3820685907 4662568089 7310446263 9912028563 11462057721 21931338789 29736085689 34386173163 65794016367 89208257067 103158519489 197382049101 267624771201 309475558467 592146147303 928426675401 2785280026203 8355840078609 25067520235827 75202560707481