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89550508032 = 212327573209
BaseRepresentation
bin101001101100110100…
…0000101000000000000
322120010221002011001200
41103121220011000000
52431344412224112
6105050002101200
76320100521226
oct1233150050000
9276127064050
1089550508032
1134a83a22127
121543234a800
1385a19728bb
144497332b16
1524e1b8dcdc
hex14d9a05000

89550508032 has 156 divisors (see below), whose sum is σ = 259092305940. Its totient is φ = 29801447424.

The previous prime is 89550508007. The next prime is 89550508063. The reversal of 89550508032 is 23080505598.

89550508032 is a `hidden beast` number, since 8 + 95 + 50 + 508 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52907360256 + 36643147776 = 230016^2 + 191424^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27904444 + ... + 27907652.

It is an arithmetic number, because the mean of its divisors is an integer number (1660848115).

Almost surely, 289550508032 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 89550508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129546152970).

89550508032 is an abundant number, since it is smaller than the sum of its proper divisors (169541797908).

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

89550508032 is a wasteful number, since it uses less digits than its factorization.

89550508032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 89550508032 in words is "eighty-nine billion, five hundred fifty million, five hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 757 768 1024 1152 1514 1536 2048 2271 2304 3028 3072 3209 4096 4542 4608 6056 6144 6418 6813 9084 9216 9627 12112 12288 12836 13626 18168 18432 19254 24224 25672 27252 28881 36336 36864 38508 48448 51344 54504 57762 72672 77016 96896 102688 109008 115524 145344 154032 193792 205376 218016 231048 290688 308064 387584 410752 436032 462096 581376 616128 775168 821504 872064 924192 1162752 1232256 1550336 1643008 1744128 1848384 2325504 2429213 2464512 3100672 3286016 3488256 3696768 4651008 4858426 4929024 6572032 6976512 7287639 7393536 9302016 9716852 9858048 13144064 13953024 14575278 14787072 19433704 19716096 21862917 27906048 29150556 29574144 38867408 39432192 43725834 58301112 59148288 77734816 87451668 116602224 118296576 155469632 174903336 233204448 310939264 349806672 466408896 621878528 699613344 932817792 1243757056 1399226688 1865635584 2487514112 2798453376 3731271168 4975028224 5596906752 7462542336 9950056448 11193813504 14925084672 22387627008 29850169344 44775254016 89550508032