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9995600484 = 22321928772
BaseRepresentation
bin10010100111100100…
…01100001001100100
3221210121111010010100
421103302030021210
5130432333203414
64331504224100
7502462126242
oct112362141144
927717433110
109995600484
11426a28a651
121b2b60b030
13c33b09acc
146ab739792
153d77de609
hex253c8c264

9995600484 has 81 divisors (see below), whose sum is σ = 26696912697. Its totient is φ = 3152906208.

The previous prime is 9995600467. The next prime is 9995600519. The reversal of 9995600484 is 4840065999.

The square root of 9995600484 is 99978.

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

It can be written as a sum of positive squares in only one way, i.e., 8421732900 + 1573867584 = 91770^2 + 39672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9995600484.

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, 11397054 + ... + 11397930.

Almost surely, 29995600484 is an apocalyptic number.

9995600484 is the 99978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995600484

9995600484 is an abundant number, since it is smaller than the sum of its proper divisors (16701312213).

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

9995600484 is a wasteful number, since it uses less digits than its factorization.

9995600484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 9995600484 is about 2154.1186946901.

The spelling of 9995600484 in words is "nine billion, nine hundred ninety-five million, six hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 877 1083 1444 1754 2166 2631 3249 3508 4332 5262 6498 7893 10524 12996 15786 16663 31572 33326 49989 66652 99978 149967 199956 299934 316597 599868 633194 769129 949791 1266388 1538258 1899582 2307387 2849373 3076516 3799164 4614774 5698746 6922161 9229548 11397492 13844322 14613451 27688644 29226902 43840353 58453804 87680706 131521059 175361412 263042118 277655569 526084236 555311138 832966707 1110622276 1665933414 2498900121 3331866828 4997800242 9995600484