Search a number
-
+
9935240164 = 2217149397861
BaseRepresentation
bin10010100000010111…
…11011101111100100
3221122101220111022221
421100023323233210
5130321410141124
64321510402124
7501130101523
oct112013735744
927571814287
109935240164
114239202a93
121b13360344
13c24464b45
146a37064ba
153d2369ce4
hex2502fbbe4

9935240164 has 24 divisors (see below), whose sum is σ = 18421934328. Its totient is φ = 4672227840.

The previous prime is 9935240153. The next prime is 9935240167. The reversal of 9935240164 is 4610425399.

It can be written as a sum of positive squares in 4 ways, for example, as 6425625600 + 3509614564 = 80160^2 + 59242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9935240164.

It is not an unprimeable number, because it can be changed into a prime (9935240167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52594 + ... + 150454.

It is an arithmetic number, because the mean of its divisors is an integer number (767580597).

Almost surely, 29935240164 is an apocalyptic number.

It is an amenable number.

9935240164 is a deficient number, since it is larger than the sum of its proper divisors (8486694164).

9935240164 is a wasteful number, since it uses less digits than its factorization.

9935240164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99375 (or 99373 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 9935240164 is about 99675.6748861025. The cubic root of 9935240164 is about 2149.7739199090.

The spelling of 9935240164 in words is "nine billion, nine hundred thirty-five million, two hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 68 1493 2986 5972 25381 50762 97861 101524 195722 391444 1663637 3327274 6654548 146106473 292212946 584425892 2483810041 4967620082 9935240164