Search a number
-
+
10699427232 = 2532132857753
BaseRepresentation
bin10011111011011110…
…00100110110100000
31000121122212012220200
421331233010312200
5133403023132412
64525405505200
7526066426254
oct117557046640
930548765820
1010699427232
1145a060304a
1220a7272200
131016888c40
14736dcc264
154294ba9dc
hex27dbc4da0

10699427232 has 72 divisors (see below), whose sum is σ = 32767007364. Its totient is φ = 3292130304.

The previous prime is 10699427209. The next prime is 10699427237. The reversal of 10699427232 is 23272499601.

10699427232 is a `hidden beast` number, since 106 + 99 + 427 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9199879056 + 1499548176 = 95916^2 + 38724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106994272322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10699427237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425133 + ... + 1432620.

Almost surely, 210699427232 is an apocalyptic number.

10699427232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10699427232 is an abundant number, since it is smaller than the sum of its proper divisors (22067580132).

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

10699427232 is a wasteful number, since it uses less digits than its factorization.

10699427232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857782 (or 2857771 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10699427232 in words is "ten billion, six hundred ninety-nine million, four hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 2857753 5715506 8573259 11431012 17146518 22862024 25719777 34293036 37150789 45724048 51439554 68586072 74301578 91448096 102879108 111452367 137172144 148603156 205758216 222904734 274344288 297206312 334357101 411516432 445809468 594412624 668714202 823032864 891618936 1188825248 1337428404 1783237872 2674856808 3566475744 5349713616 10699427232