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5017134720 = 273513201007
BaseRepresentation
bin1001010110000101…
…10110011010000000
3110221122121211222110
410223002312122000
540233341302340
62145502335320
7235220640633
oct45302663200
913848554873
105017134720
112145050634
12b8028a540
1361c57aa90
14358481c1a
151e56dd680
hex12b0b6680

5017134720 has 128 divisors (see below), whose sum is σ = 17222365440. Its totient is φ = 1234980864.

The previous prime is 5017134719. The next prime is 5017134721. The reversal of 5017134720 is 274317105.

It is an interprime number because it is at equal distance from previous prime (5017134719) and next prime (5017134721).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5017134721) 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 15 ways as a sum of consecutive naturals, for example, 75544 + ... + 125463.

It is an arithmetic number, because the mean of its divisors is an integer number (134549730).

Almost surely, 25017134720 is an apocalyptic number.

It is an amenable number.

5017134720 is an abundant number, since it is smaller than the sum of its proper divisors (12205230720).

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

5017134720 is a wasteful number, since it uses less digits than its factorization.

5017134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201042 (or 201030 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5017134720 is about 70831.7352604043. The cubic root of 5017134720 is about 1711.9270502005.

The spelling of 5017134720 in words is "five billion, seventeen million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 201007 402014 603021 804028 1005035 1206042 1608056 2010070 2412084 2613091 3015105 3216112 4020140 4824168 5226182 6030210 6432224 7839273 8040280 9648336 10452364 12060420 12864448 13065455 15678546 16080560 19296672 20904728 24120840 25728896 26130910 31357092 32161120 38593344 39196365 41809456 48241680 52261820 62714184 64322240 77186688 78392730 83618912 96483360 104523640 125428368 128644480 156785460 167237824 192966720 209047280 250856736 313570920 334475648 385933440 418094560 501713472 627141840 836189120 1003426944 1254283680 1672378240 2508567360 5017134720