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13040498025 = 32522323312
BaseRepresentation
bin11000010010100011…
…00011010101101001
31020122210222221022100
430021101203111221
5203201331414100
65553555044013
7641104255452
oct141121432551
936583887270
1013040498025
1155920261a5
12263b2a0609
1312ca8b1129
148b9cac129
15514ca1400
hex309463569

13040498025 has 81 divisors (see below), whose sum is σ = 24490644087. Its totient is φ = 6632445600.

The previous prime is 13040498017. The next prime is 13040498039. The reversal of 13040498025 is 52089404031.

The square root of 13040498025 is 114195.

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., 4694579289 + 8345918736 = 68517^2 + 91356^2 .

It is not a de Polignac number, because 13040498025 - 23 = 13040498017 is a prime.

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, 39397110 + ... + 39397440.

Almost surely, 213040498025 is an apocalyptic number.

13040498025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13040498025 is the 114195-th square number.

13040498025 is the 57098-th centered octagonal number.

It is an amenable number.

13040498025 is a deficient number, since it is larger than the sum of its proper divisors (11450146062).

13040498025 is an equidigital number, since it uses as much as digits as its factorization.

13040498025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 13040498025 by its sum of digits (36), we get a square (469457928900 = 6851702).

The spelling of 13040498025 in words is "thirteen billion, forty million, four hundred ninety-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 331 345 529 575 993 1035 1587 1655 1725 2645 2979 4761 4965 5175 7613 7935 8275 13225 14895 22839 23805 24825 38065 39675 68517 74475 109561 114195 119025 175099 190325 328683 342585 525297 547805 570975 875495 986049 1575891 1643415 1712925 2519903 2626485 2739025 4377475 4930245 7559709 7879455 8217075 12599515 13132425 22679127 24651225 37798545 39397275 57957769 62997575 113395635 173873307 188992725 289788845 521619921 566978175 869366535 1448944225 2608099605 4346832675 13040498025