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89471689344 = 2733151171449
BaseRepresentation
bin101001101010011101…
…1011010001010000000
322112221102202202011000
41103110323122022000
52431214223024334
6105034104452000
76315122545152
oct1232473321200
9275842682130
1089471689344
1134a43488514
121540ba7a000
13858b53711b
14448aa96ad2
1524d9cc0299
hex14d4eda280

89471689344 has 128 divisors (see below), whose sum is σ = 265816080000. Its totient is φ = 29626214400.

The previous prime is 89471689313. The next prime is 89471689381. The reversal of 89471689344 is 44398617498.

89471689344 is a `hidden beast` number, since 89 + 471 + 6 + 89 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436132 + ... + 607580.

It is an arithmetic number, because the mean of its divisors is an integer number (2076688125).

Almost surely, 289471689344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89471689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908040000).

89471689344 is an abundant number, since it is smaller than the sum of its proper divisors (176344390656).

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

89471689344 is a wasteful number, since it uses less digits than its factorization.

89471689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171623 (or 171605 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 89471689344 in words is "eighty-nine billion, four hundred seventy-one million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 288 302 384 432 453 576 604 864 906 1152 1208 1359 1728 1812 2416 2718 3456 3624 4077 4832 5436 7248 8154 9664 10872 14496 16308 19328 21744 28992 32616 43488 57984 65232 86976 130464 171449 173952 260928 342898 514347 521856 685796 1028694 1371592 1543041 2057388 2743184 3086082 4114776 4629123 5486368 6172164 8229552 9258246 10972736 12344328 16459104 18516492 21945472 24688656 25888799 32918208 37032984 49377312 51777598 65836416 74065968 77666397 98754624 103555196 148131936 155332794 197509248 207110392 232999191 296263872 310665588 414220784 465998382 592527744 621331176 698997573 828441568 931996764 1242662352 1397995146 1656883136 1863993528 2485324704 2795990292 3313766272 3727987056 4970649408 5591980584 7455974112 9941298816 11183961168 14911948224 22367922336 29823896448 44735844672 89471689344