Search a number
-
+
5064838968 = 2337171993337
BaseRepresentation
bin1001011011110001…
…10100111100111000
3111001222101110220110
410231320310330320
540333044321333
62154325024320
7236340264240
oct45570647470
914058343813
105064838968
112169a73532
12b942550a0
13629411247
1436093cb20
151e99b3063
hex12de34f38

5064838968 has 128 divisors (see below), whose sum is σ = 16128806400. Its totient is φ = 1290276864.

The previous prime is 5064838939. The next prime is 5064839047. The reversal of 5064838968 is 8698384605.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7596 + ... + 100932.

It is an arithmetic number, because the mean of its divisors is an integer number (126006300).

Almost surely, 25064838968 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 5064838968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064403200).

5064838968 is an abundant number, since it is smaller than the sum of its proper divisors (11063967432).

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

5064838968 is a wasteful number, since it uses less digits than its factorization.

5064838968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93389 (or 93385 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 5064838968 is about 71167.6820474013. The cubic root of 5064838968 is about 1717.3357626196.

The spelling of 5064838968 in words is "five billion, sixty-four million, eight hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 54264 93337 186674 280011 373348 560022 653359 746696 1120044 1306718 1586729 1773403 1960077 2240088 2613436 3173458 3546806 3920154 4760187 5226872 5320209 6346916 7093612 7840308 9520374 10640418 11107103 12413821 12693832 14187224 15680616 19040748 21280836 22214206 24827642 30147851 33321309 37241463 38081496 42561672 44428412 49655284 60295702 66642618 74482926 88856824 90443553 99310568 120591404 133285236 148965852 180887106 211034957 241182808 266570472 297931704 361774212 422069914 633104871 723548424 844139828 1266209742 1688279656 2532419484 5064838968