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95809949442 = 2341929411741
BaseRepresentation
bin101100100111010110…
…1111100111100000010
3100011022011022201110000
41121032231330330002
53032204321340232
6112003043420430
76631155063444
oct1311655747402
9304264281400
1095809949442
11376a62450a9
121669a684716
13905b70859c
1448cc798494
15275b47327c
hex164eb7cf02

95809949442 has 120 divisors (see below), whose sum is σ = 226950244092. Its totient is φ = 30206260800.

The previous prime is 95809949413. The next prime is 95809949497. The reversal of 95809949442 is 24494990859.

95809949442 is a `hidden beast` number, since 9 + 58 + 0 + 99 + 494 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86607192681 + 9202756761 = 294291^2 + 95931^2 .

It is a super-2 number, since 2×958099494422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95809949442.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55030692 + ... + 55032432.

Almost surely, 295809949442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95809949442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113475122046).

95809949442 is an abundant number, since it is smaller than the sum of its proper divisors (131140294650).

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

95809949442 is a wasteful number, since it uses less digits than its factorization.

95809949442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 95809949442 in words is "ninety-five billion, eight hundred nine million, nine hundred forty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 941 1026 1083 1539 1741 1882 2166 2823 3078 3249 3482 5223 5646 6498 8469 9747 10446 15669 16938 17879 19494 25407 29241 31338 33079 35758 47007 50814 53637 58482 66158 76221 94014 99237 107274 141021 152442 160911 198474 282042 297711 321822 339701 482733 595422 628501 679402 893133 965466 1019103 1257002 1448199 1638281 1786266 1885503 2038206 2679399 2896398 3057309 3276562 3771006 4914843 5358798 5656509 6114618 9171927 9829686 11313018 14744529 16969527 18343854 27515781 29489058 31127339 33939054 44233587 50908581 55031562 62254678 88467174 93382017 101817162 132700761 186764034 265401522 280146051 560292102 591419441 840438153 1182838882 1680876306 1774258323 2521314459 3548516646 5042628918 5322774969 10645549938 15968324907 31936649814 47904974721 95809949442