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5145314200 = 2352135337339
BaseRepresentation
bin1001100101010111…
…10100001110011000
3111021120211001011121
410302223310032120
541014200023300
62210321535024
7241335310015
oct46253641630
914246731147
105145314200
112200439794
12bb71a4474
1363cca9a20
1436b4ca70c
15201aac81a
hex132af4398

5145314200 has 96 divisors (see below), whose sum is σ = 13126503600. Its totient is φ = 1863912960.

The previous prime is 5145314179. The next prime is 5145314257. The reversal of 5145314200 is 24135415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119131 + ... + 156469.

Almost surely, 25145314200 is an apocalyptic number.

5145314200 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 5145314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563251800).

5145314200 is an abundant number, since it is smaller than the sum of its proper divisors (7981189400).

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

5145314200 is a wasteful number, since it uses less digits than its factorization.

5145314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37421 (or 37412 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5145314200 is about 71730.8455268722. The cubic root of 5145314200 is about 1726.3835934400.

Adding to 5145314200 its reverse (24135415), we get a palindrome (5169449615).

The spelling of 5145314200 in words is "five billion, one hundred forty-five million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 37339 68900 74678 137800 149356 186695 298712 373390 485407 746780 933475 970814 1493560 1866950 1941628 1978967 2427035 3733900 3883256 3957934 4854070 7467800 7915868 9708140 9894835 12135175 15831736 19416280 19789670 24270350 25726571 39579340 48540700 49474175 51453142 79158680 97081400 98948350 102906284 128632855 197896700 205812568 257265710 395793400 514531420 643164275 1029062840 1286328550 2572657100 5145314200