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5172231120 = 243577938971
BaseRepresentation
bin1001101000100100…
…11111101111010000
3111100110110120020120
410310102133233100
541043042343440
62213122510240
7242113145010
oct46422375720
914313416216
105172231120
112214653881
121004205380
136457425b4
14370cd5c40
15204127dd0
hex13449fbd0

5172231120 has 160 divisors (see below), whose sum is σ = 18556907520. Its totient is φ = 1167229440.

The previous prime is 5172231059. The next prime is 5172231121. The reversal of 5172231120 is 211322715.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5172231121) 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, 113235 + ... + 152205.

It is an arithmetic number, because the mean of its divisors is an integer number (115980672).

Almost surely, 25172231120 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 5172231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278453760).

5172231120 is an abundant number, since it is smaller than the sum of its proper divisors (13384676400).

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

5172231120 is a wasteful number, since it uses less digits than its factorization.

5172231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39073 (or 39067 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5172231120 is about 71918.2252283800. The cubic root of 5172231120 is about 1729.3887958610.

Adding to 5172231120 its reverse (211322715), we get a palindrome (5383553835).

The spelling of 5172231120 in words is "five billion, one hundred seventy-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 4424 4740 5530 6320 6636 8295 8848 9480 11060 13272 16590 18960 22120 26544 33180 38971 44240 66360 77942 116913 132720 155884 194855 233826 272797 311768 389710 467652 545594 584565 623536 779420 818391 935304 1091188 1169130 1363985 1558840 1636782 1870608 2182376 2338260 2727970 3078709 3117680 3273564 4091955 4364752 4676520 5455940 6157418 6547128 8183910 9236127 9353040 10911880 12314836 13094256 15393545 16367820 18472254 21550963 21823760 24629672 30787090 32735640 36944508 43101926 46180635 49259344 61574180 64652889 65471280 73889016 86203852 92361270 107754815 123148360 129305778 147778032 172407704 184722540 215509630 246296720 258611556 323264445 344815408 369445080 431019260 517223112 646528890 738890160 862038520 1034446224 1293057780 1724077040 2586115560 5172231120