Search a number
-
+
234831964536 = 23341397287387
BaseRepresentation
bin1101101010110100010…
…0110110100101111000
3211110010211202211010000
43122231010312211320
512321413440331121
6255514051553000
722652232523011
oct3325504664570
9743124684100
10234831964536
1190656581754
12396188bb760
13191b579aa90
14b51a16a008
1561963b1526
hex36ad136978

234831964536 has 160 divisors (see below), whose sum is σ = 715647849840. Its totient is φ = 71510833152.

The previous prime is 234831964517. The next prime is 234831964567. The reversal of 234831964536 is 635469138432.

234831964536 is a `hidden beast` number, since 2 + 3 + 48 + 3 + 1 + 9 + 64 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673435 + ... + 960821.

Almost surely, 2234831964536 is an apocalyptic number.

234831964536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234831964536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357823924920).

234831964536 is an abundant number, since it is smaller than the sum of its proper divisors (480815885304).

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

234831964536 is a wasteful number, since it uses less digits than its factorization.

234831964536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287515 (or 287502 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 234831964536 in words is "two hundred thirty-four billion, eight hundred thirty-one million, nine hundred sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 97 104 108 117 156 162 194 216 234 291 312 324 351 388 468 582 648 702 776 873 936 1053 1164 1261 1404 1746 2106 2328 2522 2619 2808 3492 3783 4212 5044 5238 6984 7566 7857 8424 10088 10476 11349 15132 15714 20952 22698 30264 31428 34047 45396 62856 68094 90792 102141 136188 204282 272376 287387 408564 574774 817128 862161 1149548 1724322 2299096 2586483 3448644 3736031 5172966 6897288 7472062 7759449 10345932 11208093 14944124 15518898 20691864 22416186 23278347 27876539 29888248 31037796 33624279 44832372 46556694 55753078 62075592 67248558 83629617 89664744 93113388 100872837 111506156 134497116 167259234 186226776 201745674 223012312 250888851 268994232 302618511 334518468 362395007 403491348 501777702 605237022 669036936 724790014 752666553 806982696 1003555404 1087185021 1210474044 1449580028 1505333106 2007110808 2174370042 2257999659 2420948088 2899160056 3010666212 3261555063 4348740084 4515999318 6021332424 6523110126 8697480168 9031998636 9784665189 13046220252 18063997272 19569330378 26092440504 29353995567 39138660756 58707991134 78277321512 117415982268 234831964536