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9834874164 = 22321959324247
BaseRepresentation
bin10010010100011010…
…00100010100110100
3221101102001101001200
421022031010110310
5130120211433124
64303523252500
7465501023343
oct111215042464
927342041050
109834874164
114197591585
121aa581a130
13c0972388b
1469425bb5a
153c8641bc9
hex24a344534

9834874164 has 72 divisors (see below), whose sum is σ = 26214027840. Its totient is φ = 3100384512.

The previous prime is 9834874163. The next prime is 9834874171. The reversal of 9834874164 is 4614784389.

It is a self number, because there is not a number n which added to its sum of digits gives 9834874164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9834874163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393489 + ... + 417735.

It is an arithmetic number, because the mean of its divisors is an integer number (364083720).

Almost surely, 29834874164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9834874164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107013920).

9834874164 is an abundant number, since it is smaller than the sum of its proper divisors (16379153676).

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

9834874164 is a wasteful number, since it uses less digits than its factorization.

9834874164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24869 (or 24864 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 9834874164 is about 99170.9340684053. The cubic root of 9834874164 is about 2142.5103858489.

The spelling of 9834874164 in words is "nine billion, eight hundred thirty-four million, eight hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 593 684 1186 1779 2372 3558 5337 7116 10674 11267 21348 22534 24247 33801 45068 48494 67602 72741 96988 101403 135204 145482 202806 218223 290964 405612 436446 460693 872892 921386 1382079 1842772 2764158 4146237 5528316 8292474 14378471 16584948 28756942 43135413 57513884 86270826 129406239 172541652 258812478 273190949 517624956 546381898 819572847 1092763796 1639145694 2458718541 3278291388 4917437082 9834874164