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99024761124 = 223217922932
BaseRepresentation
bin101110000111001010…
…1011111000100100100
3100110121012120002000100
41130032111133010210
53110300314323444
6113254044144100
710103632403322
oct1341625370444
9313535502010
1099024761124
1138aa5994763
1217237238030
139451761b13
144b1571ad12
1528987e9e69
hex170e55f124

99024761124 has 81 divisors (see below), whose sum is σ = 252580837873. Its totient is φ = 32711823264.

The previous prime is 99024761119. The next prime is 99024761161. The reversal of 99024761124 is 42116742099.

The square root of 99024761124 is 314682.

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

99024761124 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 4 + 7 + 611 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93691088100 + 5333673024 = 306090^2 + 73032^2 .

It is a super-3 number, since 3×990247611243 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 99024761124.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 337968322 + ... + 337968614.

Almost surely, 299024761124 is an apocalyptic number.

99024761124 is the 314682-nd square number.

It is an amenable number.

99024761124 is an abundant number, since it is smaller than the sum of its proper divisors (153556076749).

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

99024761124 is a wasteful number, since it uses less digits than its factorization.

99024761124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 99024761124 in words is "ninety-nine billion, twenty-four million, seven hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 179 293 358 537 586 716 879 1074 1172 1611 1758 2148 2637 3222 3516 5274 6444 10548 32041 52447 64082 85849 96123 104894 128164 157341 171698 192246 209788 257547 288369 314682 343396 384492 472023 515094 576738 629364 772641 944046 1030188 1153476 1545282 1888092 3090564 9388013 15366971 18776026 28164039 30733942 37552052 46100913 56328078 61467884 84492117 92201826 112656156 138302739 168984234 184403652 276605478 337968468 553210956 2750687809 5501375618 8252063427 11002751236 16504126854 24756190281 33008253708 49512380562 99024761124