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18326390625 = 3256194
BaseRepresentation
bin10001000100010101…
…101000011101100001
31202022012100002210100
4101010111220131201
5300013024000000
612230302053013
71216100515164
oct210425503541
952265302710
1018326390625
117854851584
12367557a169
131960a3b52a
14c5bd0dadb
15723d7ba00
hex444568761

18326390625 has 105 divisors (see below), whose sum is σ = 34927150583. Its totient is φ = 9259650000.

The previous prime is 18326390623. The next prime is 18326390627. The reversal of 18326390625 is 52609362381.

The square root of 18326390625 is 135375.

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

18326390625 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 639 + 0 + 6 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (18326390623) and next prime (18326390627).

It can be written as a sum of positive squares in 3 ways, for example, as 16055677521 + 2270713104 = 126711^2 + 47652^2 .

It is not a de Polignac number, because 18326390625 - 21 = 18326390623 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18326390623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 964546866 + ... + 964546884.

Almost surely, 218326390625 is an apocalyptic number.

18326390625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18326390625 is the 135375-th square number.

18326390625 is the 67688-th centered octagonal number.

It is an amenable number.

18326390625 is a deficient number, since it is larger than the sum of its proper divisors (16600759958).

18326390625 is an frugal number, since it uses more digits than its factorization.

18326390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 18326390625 in words is "eighteen billion, three hundred twenty-six million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 361 375 475 625 855 1083 1125 1425 1805 1875 2375 3125 3249 4275 5415 5625 6859 7125 9025 9375 11875 15625 16245 20577 21375 27075 28125 34295 35625 45125 46875 59375 61731 81225 102885 106875 130321 135375 140625 171475 178125 225625 296875 308655 390963 406125 514425 534375 651605 676875 857375 890625 1128125 1172889 1543275 1954815 2030625 2572125 2671875 3258025 3384375 4286875 5640625 5864445 7716375 9774075 10153125 12860625 16290125 16921875 21434375 29322225 38581875 48870375 50765625 64303125 81450625 107171875 146611125 192909375 244351875 321515625 407253125 733055625 964546875 1221759375 2036265625 3665278125 6108796875 18326390625