Search a number
-
+
5145315032600 = 235241673793139
BaseRepresentation
bin100101011011111110010…
…1011001011111000011000
3200012212221211222122012122
41022313330223023320120
51133300101122020400
614535420342000412
71040510463105251
oct112677453137030
920185854878178
105145315032600
11170413021a326
126b1243716108
132b427cb47062
1413b06ac3db28
158dc94d77685
hex4adfcacbe18

5145315032600 has 96 divisors (see below), whose sum is σ = 12256585059600. Its totient is φ = 2007608217600.

The previous prime is 5145315032597. The next prime is 5145315032609. The reversal of 5145315032600 is 62305135415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145315032609) 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, 55196831 + ... + 55289969.

Almost surely, 25145315032600 is an apocalyptic number.

5145315032600 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 5145315032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128292529800).

5145315032600 is an abundant number, since it is smaller than the sum of its proper divisors (7111270027000).

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

5145315032600 is a wasteful number, since it uses less digits than its factorization.

5145315032600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99933 (or 99924 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 5145315032600 in words is "five trillion, one hundred forty-five billion, three hundred fifteen million, thirty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 6737 8200 13474 26948 33685 53896 67370 93139 134740 168425 186278 269480 276217 336850 372556 465695 552434 673700 745112 931390 1104868 1347400 1381085 1862780 2209736 2328475 2762170 3725560 3818699 4656950 5524340 6905425 7637398 9313900 11048680 13810850 15274796 18627800 19093495 27621700 30549592 38186990 55243400 76373980 95467475 152747960 190934950 381869900 627477443 763739800 1254954886 2509909772 3137387215 5019819544 6274774430 12549548860 15686936075 25099097720 25726575163 31373872150 51453150326 62747744300 102906300652 125495488600 128632875815 205812601304 257265751630 514531503260 643164379075 1029063006520 1286328758150 2572657516300 5145315032600