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899517568041 = 31213012
BaseRepresentation
bin11010001011011110110…
…11001101010000101001
310011222210221000000000000
431011233123031100221
5104214202444134131
61525122131133213
7121662612113241
oct15055733152051
93158727000000
10899517568041
113175352425a4
121263ba744209
1366a93845501
14317732c4b21
15185e9ed3ce6
hexd16f6cd429

899517568041 has 39 divisors (see below), whose sum is σ = 1350313409383. Its totient is φ = 599217442200.

The previous prime is 899517567997. The next prime is 899517568097. The reversal of 899517568041 is 140865715998.

The square root of 899517568041 is 948429.

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., 1382278041 + 898135290000 = 37179^2 + 947700^2 .

It is not a de Polignac number, because 899517568041 - 219 = 899517043753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 899517568041.

It is not an unprimeable number, because it can be changed into a prime (899517468041) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 691404091 + ... + 691405391.

Almost surely, 2899517568041 is an apocalyptic number.

899517568041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

899517568041 is the 948429-th square number.

899517568041 is the 474215-th centered octagonal number.

It is an amenable number.

899517568041 is a deficient number, since it is larger than the sum of its proper divisors (450795841342).

899517568041 is an frugal number, since it uses more digits than its factorization.

899517568041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 899517568041 in words is "eight hundred ninety-nine billion, five hundred seventeen million, five hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 1301 2187 3903 6561 11709 19683 35127 59049 105381 177147 316143 531441 948429 1692601 2845287 5077803 8535861 15233409 25607583 45700227 76822749 137100681 230468247 411302043 691404741 1233906129 3701718387 11105155161 33315465483 99946396449 299839189347 899517568041