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14572352656 = 2410322932
BaseRepresentation
bin11011001001001010…
…00111010010010000
31101121120110012211001
431210211013102100
5214321010241111
610410000031344
71024054645111
oct154445072220
941546405731
1014572352656
1161a8793264
1229a8302554
1314b30775a4
149c3504208
155a44de1c1
hex364947490

14572352656 has 45 divisors (see below), whose sum is σ = 28608348729. Its totient is φ = 7190810688.

The previous prime is 14572352633. The next prime is 14572352657. The reversal of 14572352656 is 65625327541.

It is a happy number.

The square root of 14572352656 is 120716.

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., 13787456400 + 784896256 = 117420^2 + 28016^2 .

It is a Duffinian number.

Its product of digits (1512000) is a multiple of the sum of its prime factors (800).

It is not an unprimeable number, because it can be changed into a prime (14572352657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49734846 + ... + 49735138.

Almost surely, 214572352656 is an apocalyptic number.

14572352656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14572352656 is the 120716-th square number.

It is an amenable number.

14572352656 is a deficient number, since it is larger than the sum of its proper divisors (14035996073).

14572352656 is an frugal number, since it uses more digits than its factorization.

14572352656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 46.

The spelling of 14572352656 in words is "fourteen billion, five hundred seventy-two million, three hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 103 206 293 412 586 824 1172 1648 2344 4688 10609 21218 30179 42436 60358 84872 85849 120716 169744 171698 241432 343396 482864 686792 1373584 3108437 6216874 8842447 12433748 17684894 24867496 35369788 49734992 70739576 141479152 910772041 1821544082 3643088164 7286176328 14572352656