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5166247100 = 22527371731153
BaseRepresentation
bin1001100111110111…
…01010110010111100
3111100001012112201012
410303323222302330
541040024401400
62212350334352
7242011242620
oct46373526274
914301175635
105166247100
112211236a03
1210021ba3b8
13644428961
143701b9180
15203844d35
hex133eeacbc

5166247100 has 144 divisors (see below), whose sum is σ = 13246110528. Its totient is φ = 1711964160.

The previous prime is 5166247069. The next prime is 5166247109. The reversal of 5166247100 is 17426615.

It is a super-3 number, since 3×51662471003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166247109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4480124 + ... + 4481276.

Almost surely, 25166247100 is an apocalyptic number.

5166247100 is a gapful number since it is divisible by the number (50) 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 5166247100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623055264).

5166247100 is an abundant number, since it is smaller than the sum of its proper divisors (8079863428).

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

5166247100 is a wasteful number, since it uses less digits than its factorization.

5166247100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 5166247100 is about 71876.6102428321. The cubic root of 5166247100 is about 1728.7215988978.

The spelling of 5166247100 in words is "five billion, one hundred sixty-six million, two hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 173 175 185 259 346 350 370 518 692 700 740 865 925 1036 1153 1211 1295 1730 1850 2306 2422 2590 3460 3700 4325 4612 4844 5180 5765 6055 6401 6475 8071 8650 11530 12110 12802 12950 16142 17300 23060 24220 25604 25900 28825 30275 32005 32284 40355 42661 44807 57650 60550 64010 80710 85322 89614 115300 121100 128020 160025 161420 170644 179228 199469 201775 213305 224035 298627 320050 398938 403550 426610 448070 597254 640100 797876 807100 853220 896140 997345 1066525 1120175 1194508 1396283 1493135 1994690 2133050 2240350 2792566 2986270 3989380 4266100 4480700 4986725 5585132 5972540 6981415 7380353 7465675 9973450 13962830 14760706 14931350 19946900 27925660 29521412 29862700 34907075 36901765 51662471 69814150 73803530 103324942 139628300 147607060 184508825 206649884 258312355 369017650 516624710 738035300 1033249420 1291561775 2583123550 5166247100