Search a number
-
+
5346104500 = 2253115471777
BaseRepresentation
bin1001111101010011…
…10001010010110100
3111210120122020200101
410332221301102310
541422100321000
62242253323444
7246324065332
oct47651612264
914716566611
105346104500
1122a3811490
121052496584
1367277c959
1438a036b52
15214520e6a
hex13ea714b4

5346104500 has 96 divisors (see below), whose sum is σ = 12767803776. Its totient is φ = 1939392000.

The previous prime is 5346104483. The next prime is 5346104501. The reversal of 5346104500 is 54016435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346104501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3007612 + ... + 3009388.

It is an arithmetic number, because the mean of its divisors is an integer number (132997956).

Almost surely, 25346104500 is an apocalyptic number.

5346104500 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 5346104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383901888).

5346104500 is an abundant number, since it is smaller than the sum of its proper divisors (7421699276).

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

5346104500 is a wasteful number, since it uses less digits than its factorization.

5346104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5346104500 is about 73117.0602527208. The cubic root of 5346104500 is about 1748.5543980141.

The spelling of 5346104500 in words is "five billion, three hundred forty-six million, one hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 547 550 1094 1100 1375 1777 2188 2735 2750 3554 5470 5500 6017 7108 8885 10940 12034 13675 17770 19547 24068 27350 30085 35540 39094 44425 54700 60170 68375 78188 88850 97735 120340 136750 150425 177700 195470 222125 273500 300850 390940 444250 488675 601700 752125 888500 972019 977350 1504250 1944038 1954700 2443375 3008500 3888076 4860095 4886750 9720190 9773500 10692209 19440380 21384418 24300475 42768836 48600950 53461045 97201900 106922090 121502375 213844180 243004750 267305225 486009500 534610450 1069220900 1336526125 2673052250 5346104500