Search a number
-
+
9985944096 = 253234673417
BaseRepresentation
bin10010100110011010…
…10110101000100000
3221202221022112001100
421103031112220200
5130422400202341
64330521234400
7502314060432
oct112315265040
927687275040
109985944096
114264894667
121b28332a00
13c31b0877b
146aa344652
153d6a333b6
hex253356a20

9985944096 has 36 divisors (see below), whose sum is σ = 28397529342. Its totient is φ = 3328647936.

The previous prime is 9985944079. The next prime is 9985944107. The reversal of 9985944096 is 6904495899.

It can be written as a sum of positive squares in only one way, i.e., 9980010000 + 5934096 = 99900^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17336421 + ... + 17336996.

Almost surely, 29985944096 is an apocalyptic number.

9985944096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9985944096 is an abundant number, since it is smaller than the sum of its proper divisors (18411585246).

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

9985944096 is a wasteful number, since it uses less digits than its factorization.

9985944096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34673433 (or 34673422 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 9985944096 is about 99929.6957665738. The cubic root of 9985944096 is about 2153.4247991471.

The spelling of 9985944096 in words is "nine billion, nine hundred eighty-five million, nine hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 34673417 69346834 104020251 138693668 208040502 277387336 312060753 416081004 554774672 624121506 832162008 1109549344 1248243012 1664324016 2496486024 3328648032 4992972048 9985944096