Search a number
-
+
5326370000 = 2454776091
BaseRepresentation
bin1001111010111100…
…11111010011010000
3111202012111122000222
410331132133103100
541402022320000
62240310332212
7245664253340
oct47536372320
914665448028
105326370000
112293662686
12104795a068
1366b660333
1438757ad20
15212923a85
hex13d79f4d0

5326370000 has 100 divisors (see below), whose sum is σ = 14738107296. Its totient is φ = 1826160000.

The previous prime is 5326369949. The next prime is 5326370017. The reversal of 5326370000 is 736235.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×53263700003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31955 + ... + 108045.

Almost surely, 25326370000 is an apocalyptic number.

5326370000 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 5326370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369053648).

5326370000 is an abundant number, since it is smaller than the sum of its proper divisors (9411737296).

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

5326370000 is an equidigital number, since it uses as much as digits as its factorization.

5326370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76126 (or 76105 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 5326370000 is about 72981.9840782641. The cubic root of 5326370000 is about 1746.4002193129.

The spelling of 5326370000 in words is "five billion, three hundred twenty-six million, three hundred seventy thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 76091 152182 304364 380455 532637 608728 760910 1065274 1217456 1521820 1902275 2130548 2663185 3043640 3804550 4261096 5326370 6087280 7609100 8522192 9511375 10652740 13315925 15218200 19022750 21305480 26631850 30436400 38045500 42610960 47556875 53263700 66579625 76091000 95113750 106527400 133159250 152182000 190227500 213054800 266318500 332898125 380455000 532637000 665796250 760910000 1065274000 1331592500 2663185000 5326370000