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5445010125 = 325341971217
BaseRepresentation
bin1010001001000110…
…00100001011001101
3112001110202011200200
411010203010023031
542122410311000
62300145244113
7251634552042
oct50443041315
915043664620
105445010125
112344625775
12107b633639
1368a0cc2a9
143992211c9
1521d05b500
hex1448c42cd

5445010125 has 96 divisors (see below), whose sum is σ = 10166948064. Its totient is φ = 2801664000.

The previous prime is 5445010079. The next prime is 5445010147. The reversal of 5445010125 is 5210105445.

It can be written as a sum of positive squares in 16 ways, for example, as 5268146724 + 176863401 = 72582^2 + 13299^2 .

It is not a de Polignac number, because 5445010125 - 26 = 5445010061 is a prime.

It is a super-2 number, since 2×54450101252 = 59296270522705031250, which contains 22 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4473517 + ... + 4474733.

It is an arithmetic number, because the mean of its divisors is an integer number (105905709).

Almost surely, 25445010125 is an apocalyptic number.

It is an amenable number.

5445010125 is a deficient number, since it is larger than the sum of its proper divisors (4721937939).

5445010125 is a wasteful number, since it uses less digits than its factorization.

5445010125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5445010125 is about 73790.3118640923. The cubic root of 5445010125 is about 1759.2716214876.

The spelling of 5445010125 in words is "five billion, four hundred forty-five million, ten thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 97 123 125 205 225 291 369 375 485 615 873 1025 1125 1217 1455 1845 2425 3075 3651 3977 4365 5125 6085 7275 9225 10953 11931 12125 15375 18255 19885 21825 30425 35793 36375 46125 49897 54765 59655 91275 99425 109125 118049 149691 152125 178965 249485 273825 298275 354147 449073 456375 497125 590245 748455 894825 1062441 1247425 1369125 1491375 1770735 2245365 2951225 3742275 4474125 4840009 5312205 6237125 8853675 11226825 14520027 14756125 18711375 24200045 26561025 43560081 44268375 56134125 72600135 121000225 132805125 217800405 363000675 605001125 1089002025 1815003375 5445010125