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14669085456 = 2432100932
BaseRepresentation
bin11011010100101100…
…00111101100010000
31101212022110202021100
431222112013230100
5220020241213311
610423333224400
71026341111664
oct155226075420
941768422240
1014669085456
116248353023
122a14792100
1314ca115c2c
149d22c48a4
155acc4aa56
hex36a587b10

14669085456 has 45 divisors (see below), whose sum is σ = 41057133429. Its totient is φ = 4889210688.

The previous prime is 14669085449. The next prime is 14669085461. The reversal of 14669085456 is 65458096641.

The square root of 14669085456 is 121116.

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

14669085456 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 90 + 8 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7475331600 + 7193753856 = 86460^2 + 84816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1448346 + ... + 1458438.

Almost surely, 214669085456 is an apocalyptic number.

14669085456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14669085456 is the 121116-th square number.

It is an amenable number.

14669085456 is an abundant number, since it is smaller than the sum of its proper divisors (26388047973).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14669085456 is an frugal number, since it uses more digits than its factorization.

14669085456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20200 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 14669085456 in words is "fourteen billion, six hundred sixty-nine million, eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10093 20186 30279 40372 60558 80744 90837 121116 161488 181674 242232 363348 484464 726696 1453392 101868649 203737298 305605947 407474596 611211894 814949192 916817841 1222423788 1629898384 1833635682 2444847576 3667271364 4889695152 7334542728 14669085456