Search a number
-
+
59120215050 = 23521337819407
BaseRepresentation
bin110111000011110101…
…101110010000001010
312122121012010002200110
4313003311232100022
51432034233340200
643054235215150
74162024352001
oct670365562012
9178535102613
1059120215050
1123088902666
12b55b2a74b6
1357623c0a90
142c0bab9c38
1518103bab50
hexdc3d6e40a

59120215050 has 96 divisors (see below), whose sum is σ = 162164120832. Its totient is φ = 14159335680.

The previous prime is 59120215043. The next prime is 59120215051. The reversal of 59120215050 is 5051202195.

59120215050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 59120214999 and 59120215017.

It is not an unprimeable number, because it can be changed into a prime (59120215051) 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, 337554 + ... + 481853.

It is an arithmetic number, because the mean of its divisors is an integer number (1689209592).

Almost surely, 259120215050 is an apocalyptic number.

59120215050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59120215050 is an abundant number, since it is smaller than the sum of its proper divisors (103043905782).

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

59120215050 is a wasteful number, since it uses less digits than its factorization.

59120215050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819472 (or 819467 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

It can be divided in two parts, 59120 and 215050, that added together give a triangular number (274170 = T740).

The spelling of 59120215050 in words is "fifty-nine billion, one hundred twenty million, two hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 37 39 50 65 74 75 78 111 130 150 185 195 222 325 370 390 481 555 650 925 962 975 1110 1443 1850 1950 2405 2775 2886 4810 5550 7215 12025 14430 24050 36075 72150 819407 1638814 2458221 4097035 4916442 8194070 10652291 12291105 20485175 21304582 24582210 30318059 31956873 40970350 53261455 60636118 61455525 63913746 90954177 106522910 122911050 151590295 159784365 181908354 266307275 303180590 319568730 394134767 454770885 532614550 757951475 788269534 798921825 909541770 1182404301 1515902950 1597843650 1970673835 2273854425 2364808602 3941347670 4547708850 5912021505 9853369175 11824043010 19706738350 29560107525 59120215050