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3146490607225 = 52725928592
BaseRepresentation
bin101101110010011001011…
…101000111011001111001
3102010210122100012011110111
4231302121131013121321
5403023003043412400
610405251113344321
7443216653605400
oct55623135073171
912123570164414
103146490607225
111003467a12119
124299894080a1
1319a936004694
14ac410562637
1556caa1ad3ba
hex2dc99747679

3146490607225 has 81 divisors (see below), whose sum is σ = 4622263283727. Its totient is φ = 2118554998560.

The previous prime is 3146490607199. The next prime is 3146490607289. The reversal of 3146490607225 is 5227060946413.

The square root of 3146490607225 is 1773835.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1132736618601 + 2013753988624 = 1064301^2 + 1419068^2 .

It is not a de Polignac number, because 3146490607225 - 29 = 3146490606713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3662968846 + ... + 3662969704.

Almost surely, 23146490607225 is an apocalyptic number.

3146490607225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3146490607225 is the 1773835-th square number.

3146490607225 is the 886918-th centered octagonal number.

It is an amenable number.

3146490607225 is a deficient number, since it is larger than the sum of its proper divisors (1475772676502).

3146490607225 is an frugal number, since it uses more digits than its factorization.

3146490607225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 3146490607225 by its sum of digits (49), we get a square (154178039754025 = 124168452).

3146490607225 divided by its sum of digits (49) gives a square (64214094025 = 2534052).

The spelling of 3146490607225 in words is "three trillion, one hundred forty-six billion, four hundred ninety million, six hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 175 245 295 413 859 1225 1475 2065 2891 3481 4295 6013 10325 14455 17405 21475 24367 30065 42091 50681 72275 87025 121835 150325 170569 210455 253405 354767 609175 737881 852845 1052275 1267025 1773835 2483369 2990179 3689405 4264225 5165167 8869175 12416845 14950895 18447025 20931253 25825835 36156169 43534979 62084225 74754475 104656265 129129175 146518771 180780845 217674895 304744853 523281325 732593855 903904225 1088374475 1523724265 2133213971 2568563761 3662969275 7618621325 10666069855 12842818805 17979946327 53330349275 64214094025 89899731635 125859624289 449498658175 629298121445 3146490607225