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146326014500 = 22531092684881
BaseRepresentation
bin1000100001000110110…
…1011100101000100100
3111222200201012201020112
42020101231130220210
54344133424431000
6151115442152152
713400044413161
oct2102155345044
9458621181215
10146326014500
11570692474a6
1224438352658
1310a4c366743
147121863068
153c162a6235
hex2211b5ca24

146326014500 has 48 divisors (see below), whose sum is σ = 322508025840. Its totient is φ = 57993408000.

The previous prime is 146326014481. The next prime is 146326014517. The reversal of 146326014500 is 5410623641.

It can be written as a sum of positive squares in 8 ways, for example, as 47709917476 + 98616097024 = 218426^2 + 314032^2 .

It is a super-2 number, since 2×1463260145002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287941 + ... + 1396940.

It is an arithmetic number, because the mean of its divisors is an integer number (6718917205).

Almost surely, 2146326014500 is an apocalyptic number.

146326014500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146326014500 is an abundant number, since it is smaller than the sum of its proper divisors (176182011340).

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

146326014500 is a wasteful number, since it uses less digits than its factorization.

146326014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685009 (or 2684997 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 146326014500 in words is "one hundred forty-six billion, three hundred twenty-six million, fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 1090 2180 2725 5450 10900 13625 27250 54500 2684881 5369762 10739524 13424405 26848810 53697620 67122025 134244050 268488100 292652029 335610125 585304058 671220250 1170608116 1342440500 1463260145 2926520290 5853040580 7316300725 14632601450 29265202900 36581503625 73163007250 146326014500