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5143428600 = 2335210383227
BaseRepresentation
bin1001100101001001…
…00111110111111000
3111021110021020121120
410302210213313320
541013204203400
62210213305240
7241313264442
oct46244476770
914243236546
105143428600
1121aa371042
12bb6635220
1363c79969b
1436b159492
15201838ca0
hex132927df8

5143428600 has 96 divisors (see below), whose sum is σ = 16099624320. Its totient is φ = 1358248320.

The previous prime is 5143428593. The next prime is 5143428601. The reversal of 5143428600 is 68243415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5143428601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20187 + ... + 103413.

It is an arithmetic number, because the mean of its divisors is an integer number (167704420).

Almost surely, 25143428600 is an apocalyptic number.

5143428600 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 5143428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049812160).

5143428600 is an abundant number, since it is smaller than the sum of its proper divisors (10956195720).

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

5143428600 is a wasteful number, since it uses less digits than its factorization.

5143428600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83349 (or 83340 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5143428600 is about 71717.7007439586. The cubic root of 5143428600 is about 1726.1726787766.

It can be divided in two parts, 5143428 and 600, that added together give a triangular number (5144028 = T3207).

The spelling of 5143428600 in words is "five billion, one hundred forty-three million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 150 200 206 300 309 412 515 600 618 824 1030 1236 1545 2060 2472 2575 3090 4120 5150 6180 7725 10300 12360 15450 20600 30900 61800 83227 166454 249681 332908 416135 499362 665816 832270 998724 1248405 1664540 1997448 2080675 2496810 3329080 4161350 4993620 6242025 8322700 8572381 9987240 12484050 16645400 17144762 24968100 25717143 34289524 42861905 49936200 51434286 68579048 85723810 102868572 128585715 171447620 205737144 214309525 257171430 342895240 428619050 514342860 642928575 857238100 1028685720 1285857150 1714476200 2571714300 5143428600