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5166046480 = 24573732579
BaseRepresentation
bin1001100111110101…
…11001110100010000
3111100000211100111211
410303322321310100
541040001441410
62212342145504
7242006446000
oct46372716420
914300740454
105166046480
11221110a201
121002122294
1364438854a
14370166000
1520380568a
hex133eb9d10

5166046480 has 160 divisors (see below), whose sum is σ = 14204448000. Its totient is φ = 1746275328.

The previous prime is 5166046471. The next prime is 5166046489. The reversal of 5166046480 is 846406615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5166046471) and next prime (5166046489).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5166046489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001831 + ... + 2004409.

It is an arithmetic number, because the mean of its divisors is an integer number (88777800).

Almost surely, 25166046480 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 5166046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102224000).

5166046480 is an abundant number, since it is smaller than the sum of its proper divisors (9038401520).

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

5166046480 is a wasteful number, since it uses less digits than its factorization.

5166046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 5166046480 is about 71875.2146431578. The cubic root of 5166046480 is about 1728.6992215570.

The spelling of 5166046480 in words is "five billion, one hundred sixty-six million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 73 80 98 112 140 146 196 245 280 292 343 365 392 490 511 560 584 686 730 784 980 1022 1168 1372 1460 1715 1960 2044 2555 2579 2744 2920 3430 3577 3920 4088 5110 5158 5488 5840 6860 7154 8176 10220 10316 12895 13720 14308 17885 18053 20440 20632 25039 25790 27440 28616 35770 36106 40880 41264 50078 51580 57232 71540 72212 90265 100156 103160 125195 126371 143080 144424 180530 188267 200312 206320 250390 252742 286160 288848 361060 376534 400624 500780 505484 631855 722120 753068 884597 941335 1001560 1010968 1263710 1317869 1444240 1506136 1769194 1882670 2003120 2021936 2527420 2635738 3012272 3538388 3765340 4422985 5054840 5271476 6589345 7076776 7530680 8845970 9225083 10109680 10542952 13178690 14153552 15061360 17691940 18450166 21085904 26357380 35383880 36900332 46125415 52714760 64575581 70767760 73800664 92250830 105429520 129151162 147601328 184501660 258302324 322877905 369003320 516604648 645755810 738006640 1033209296 1291511620 2583023240 5166046480