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89009448561 = 361119733797
BaseRepresentation
bin101001011100101100…
…0000110011001110001
322111202012222111000000
41102321120012121301
52424242404323221
6104520153220213
76300510554325
oct1227130063161
9274665874000
1089009448561
1134826571140
1215301101669
138516842977
14444552d985
1524ae414e26
hex14b9606671

89009448561 has 112 divisors (see below), whose sum is σ = 153649218240. Its totient is φ = 50972146560.

The previous prime is 89009448553. The next prime is 89009448587. The reversal of 89009448561 is 16584490098.

It is not a de Polignac number, because 89009448561 - 23 = 89009448553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89009448498 and 89009448507.

It is not an unprimeable number, because it can be changed into a prime (89009440561) 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 111 ways as a sum of consecutive naturals, for example, 111680215 + ... + 111681011.

It is an arithmetic number, because the mean of its divisors is an integer number (1371868020).

Almost surely, 289009448561 is an apocalyptic number.

89009448561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

89009448561 is a deficient number, since it is larger than the sum of its proper divisors (64639769679).

89009448561 is a wasteful number, since it uses less digits than its factorization.

89009448561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 89009448561 in words is "eighty-nine billion, nine million, four hundred forty-eight thousand, five hundred sixty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 243 297 513 627 729 733 797 891 1539 1881 2199 2391 2673 4617 5643 6597 7173 8019 8063 8767 13851 13927 15143 16929 19791 21519 24189 26301 41781 45429 50787 59373 64557 72567 78903 125343 136287 152361 153197 166573 178119 193671 217701 236709 376029 408861 459591 499719 534357 581013 584201 653103 710127 1128087 1226583 1378773 1499157 1752603 1959309 2130381 3384261 3679749 4136319 4497471 5257809 5877927 6391143 6426211 10152783 11039247 11099819 12408957 13492413 15773427 19278633 33299457 37226871 40477239 47320281 57835899 99898371 111680613 121431717 122098009 141960843 173507697 299695113 366294027 425882529 520523091 899085339 1098882081 1561569273 2697256017 3296646243 4684707819 8091768051 9889938729 29669816187 89009448561