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4506721875 = 3355311723
BaseRepresentation
bin1000011001001111…
…10001111001010011
3102122002012012012000
410030213301321103
533212210100000
62023110405043
7216452334555
oct41447617123
912562165160
104506721875
111a02a21937
12a59360783
1356a8bb246
1430a7794d5
151b59ba000
hex10c9f1e53

4506721875 has 96 divisors (see below), whose sum is σ = 8619448320. Its totient is φ = 2324700000.

The previous prime is 4506721871. The next prime is 4506721889. The reversal of 4506721875 is 5781276054.

4506721875 is a `hidden beast` number, since 4 + 506 + 72 + 1 + 8 + 75 = 666.

It is not a de Polignac number, because 4506721875 - 22 = 4506721871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4506721875.

It is not an unprimeable number, because it can be changed into a prime (4506721871) 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 95 ways as a sum of consecutive naturals, for example, 2614764 + ... + 2616486.

It is an arithmetic number, because the mean of its divisors is an integer number (89785920).

Almost surely, 24506721875 is an apocalyptic number.

4506721875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4506721875 is a deficient number, since it is larger than the sum of its proper divisors (4112726445).

4506721875 is an equidigital number, since it uses as much as digits as its factorization.

4506721875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4506721875 is about 67132.1225271479. The cubic root of 4506721875 is about 1651.7852577828.

The spelling of 4506721875 in words is "four billion, five hundred six million, seven hundred twenty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 125 135 155 225 279 375 465 625 675 775 837 1125 1395 1723 1875 2325 3125 3375 3875 4185 5169 5625 6975 8615 9375 11625 15507 16875 19375 20925 25845 28125 34875 43075 46521 53413 58125 77535 84375 96875 104625 129225 160239 174375 215375 232605 267065 290625 387675 480717 523125 646125 801195 871875 1076875 1163025 1335325 1442151 1938375 2403585 2615625 3230625 4005975 5384375 5815125 6676625 7210755 9691875 12017925 16153125 20029875 29075625 33383125 36053775 48459375 60089625 100149375 145378125 166915625 180268875 300448125 500746875 901344375 1502240625 4506721875