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5094961641 = 34721121032
BaseRepresentation
bin1001011111010111…
…01111000111101001
3111011002001212110000
410233223233013221
540413302233031
62201322413213
7240154313400
oct45753570751
914132055400
105094961641
112184a78100
12ba2361209
1363272a003
14364940637
151ec4633e6
hex12faef1e9

5094961641 has 135 divisors (see below), whose sum is σ = 9827045613. Its totient is φ = 2621036880.

The previous prime is 5094961639. The next prime is 5094961643. The reversal of 5094961641 is 1461694905.

It is a happy number.

The square root of 5094961641 is 71379.

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

5094961641 is a `hidden beast` number, since 509 + 4 + 96 + 16 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (5094961639) and next prime (5094961643).

It is not a de Polignac number, because 5094961641 - 21 = 5094961639 is a prime.

It is a super-3 number, since 3×50949616413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5094961643) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 49465596 + ... + 49465698.

Almost surely, 25094961641 is an apocalyptic number.

5094961641 is the 71379-th square number.

5094961641 is the 35690-th centered octagonal number.

It is an amenable number.

5094961641 is a deficient number, since it is larger than the sum of its proper divisors (4732083972).

5094961641 is a wasteful number, since it uses less digits than its factorization.

5094961641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 5094961641 is about 1720.7336019063.

The spelling of 5094961641 in words is "five billion, ninety-four million, nine hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 103 121 147 189 231 297 309 363 441 539 567 693 721 847 891 927 1089 1133 1323 1617 2079 2163 2541 2781 3267 3399 3969 4851 5047 5929 6237 6489 7623 7931 8343 9801 10197 10609 12463 14553 15141 17787 19467 22869 23793 30591 31827 37389 43659 45423 53361 55517 58401 68607 71379 74263 87241 91773 95481 112167 116699 136269 160083 166551 214137 222789 261723 286443 336501 350097 408807 480249 499653 519841 610687 642411 668367 785169 816893 859329 1009503 1050291 1283689 1498959 1559523 1832061 2005101 2355507 2450679 3150873 3851067 4496877 4678569 5496183 5718251 6015303 7066521 7352037 8985823 9452619 11553201 14035707 16488549 17154753 22056111 26957469 34659603 42107121 49465647 51464259 62900761 66168333 80872407 103978809 154392777 188702283 242617221 463178331 566106849 727851663 1698320547 5094961641