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5166417480 = 2335713194663
BaseRepresentation
bin1001100111111000…
…10100011001001000
3111100001112012102120
410303330110121020
541040100324410
62212354131240
7242012552430
oct46374243110
914301465376
105166417480
112211342a14
121002280b20
13644488383
143702212c0
1520387a570
hex133f14648

5166417480 has 128 divisors (see below), whose sum is σ = 17730662400. Its totient is φ = 1179747072.

The previous prime is 5166417463. The next prime is 5166417491. The reversal of 5166417480 is 847146615.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1105629 + ... + 1110291.

It is an arithmetic number, because the mean of its divisors is an integer number (138520800).

Almost surely, 25166417480 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 5166417480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865331200).

5166417480 is an abundant number, since it is smaller than the sum of its proper divisors (12564244920).

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

5166417480 is a wasteful number, since it uses less digits than its factorization.

5166417480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5166417480 is about 71877.7954586811. The cubic root of 5166417480 is about 1728.7406027861.

The spelling of 5166417480 in words is "five billion, one hundred sixty-six million, four hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1319 2638 3957 4663 5276 6595 7914 9233 9326 10552 13190 13989 15828 18466 18652 19785 23315 26380 27699 27978 31656 32641 36932 37304 39570 46165 46630 52760 55398 55956 65282 69945 73864 79140 92330 93260 97923 110796 111912 130564 138495 139890 158280 163205 184660 186520 195846 221592 261128 276990 279780 326410 369320 391692 489615 553980 559560 652820 783384 979230 1107960 1305640 1958460 3916920 6150497 12300994 18451491 24601988 30752485 36902982 43053479 49203976 61504970 73805964 86106958 92257455 123009940 129160437 147611928 172213916 184514910 215267395 246019880 258320874 344427832 369029820 430534790 516641748 645802185 738059640 861069580 1033283496 1291604370 1722139160 2583208740 5166417480