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18870466320225 = 3252132222772
BaseRepresentation
bin1000100101001100111110…
…11100010001011101100001
32110210222222020120100122100
410102212133130101131201
54433133203334221400
6104044550023201013
73655226514116442
oct422463734213541
973728866510570
1018870466320225
116015a13316333
122149280ba6169
13a6b628935900
1449349a6552c9
1522ace66c0100
hex11299f711761

18870466320225 has 81 divisors (see below), whose sum is σ = 36600670479243. Its totient is φ = 9289658701440.

The previous prime is 18870466320197. The next prime is 18870466320247. The reversal of 18870466320225 is 52202366407881.

The square root of 18870466320225 is 4344015.

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

18870466320225 is a `hidden beast` number, since 1 + 88 + 70 + 466 + 32 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 12502454446161 + 6368011874064 = 3535881^2 + 2523492^2 .

It is not a de Polignac number, because 18870466320225 - 25 = 18870466320193 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, 847071787 + ... + 847094063.

Almost surely, 218870466320225 is an apocalyptic number.

18870466320225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18870466320225 is the 4344015-th square number.

18870466320225 is the 2172008-th centered octagonal number.

It is an amenable number.

18870466320225 is a deficient number, since it is larger than the sum of its proper divisors (17730204159018).

18870466320225 is an frugal number, since it uses more digits than its factorization.

18870466320225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44596 (or 22298 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 18870466320225 in words is "eighteen trillion, eight hundred seventy billion, four hundred sixty-six million, three hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 22277 38025 66831 111385 200493 289601 334155 556925 868803 1002465 1448005 1670775 2606409 3764813 4344015 5012325 7240025 11294439 13032045 18824065 21720075 33883317 56472195 65160225 94120325 169416585 282360975 496264729 847082925 1488794187 2481323645 4466382561 6451441477 7443970935 12406618225 19354324431 22331912805 32257207385 37219854675 58062973293 83868739201 96771622155 111659564025 161286036925 251606217603 290314866465 419343696005 483858110775 754818652809 1258031088015 1451574332325 2096718480025 3774093264045 6290155440075 18870466320225