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889609262481 = 3618121932
BaseRepresentation
bin11001111001000001101…
…10000001010110010001
310011001020101202221000000
430330200312001112101
5104033404432344411
61520403021520213
7121162226652102
oct14744066012621
93131211687000
10889609262481
11313310266a15
121244b4413069
1365b74b51304
14310b33d03a9
151821a1d9956
hexcf20d81591

889609262481 has 63 divisors (see below), whose sum is σ = 1348198830657. Its totient is φ = 586740257280.

The previous prime is 889609262467. The next prime is 889609262537. The reversal of 889609262481 is 184262906988.

The square root of 889609262481 is 943191.

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

889609262481 is a `hidden beast` number, since 8 + 8 + 9 + 6 + 0 + 92 + 62 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589432385025 + 300176877456 = 767745^2 + 547884^2 .

It is not a de Polignac number, because 889609262481 - 29 = 889609261969 is a prime.

It is a super-2 number, since 2×8896092624812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (889609262281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4609374321 + ... + 4609374513.

It is an arithmetic number, because the mean of its divisors is an integer number (21399981439).

Almost surely, 2889609262481 is an apocalyptic number.

889609262481 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

889609262481 is the 943191-st square number.

889609262481 is the 471596-th centered octagonal number.

It is an amenable number.

889609262481 is a deficient number, since it is larger than the sum of its proper divisors (458589568176).

889609262481 is an frugal number, since it uses more digits than its factorization.

889609262481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 889609262481 in words is "eight hundred eighty-nine billion, six hundred nine million, two hundred sixty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 181 193 243 543 579 729 1629 1737 4887 5211 14661 15633 32761 34933 37249 43983 46899 98283 104799 111747 131949 140697 294849 314397 335241 884547 943191 1005723 2653641 2829573 3017169 6322873 6742069 7960923 8488719 9051507 18968619 20226207 23882769 25466157 27154521 56905857 60678621 170717571 182035863 512152713 546107589 1220314489 1536458139 1638322767 3660943467 4609374417 4914968301 10982830401 32948491203 98845473609 296536420827 889609262481