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89746066944 = 2932181107603
BaseRepresentation
bin101001110010101001…
…0000100111000000000
322120122120001120110100
41103211102010320000
52432244443120234
6105121225402400
76324663660642
oct1234522047000
9276576046410
1089746066944
1135074351466
1215487939400
138603333631
1444b52ba892
152503e1c399
hex14e5484e00

89746066944 has 120 divisors (see below), whose sum is σ = 260446658472. Its totient is φ = 29749800960.

The previous prime is 89746066859. The next prime is 89746066951. The reversal of 89746066944 is 44966064798.

89746066944 is a `hidden beast` number, since 89 + 7 + 460 + 6 + 6 + 94 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780247 + ... + 887849.

Almost surely, 289746066944 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 89746066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223329236).

89746066944 is an abundant number, since it is smaller than the sum of its proper divisors (170700591528).

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

89746066944 is a wasteful number, since it uses less digits than its factorization.

89746066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107808 (or 107789 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 89746066944 in words is "eighty-nine billion, seven hundred forty-six million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 512 543 576 724 768 1086 1152 1448 1536 1629 2172 2304 2896 3258 4344 4608 5792 6516 8688 11584 13032 17376 23168 26064 34752 46336 52128 69504 92672 104256 107603 139008 208512 215206 278016 322809 417024 430412 645618 834048 860824 968427 1291236 1721648 1936854 2582472 3443296 3873708 5164944 6886592 7747416 10329888 13773184 15494832 19476143 20659776 27546368 30989664 38952286 41319552 55092736 58428429 61979328 77904572 82639104 116856858 123958656 155809144 165278208 175285287 233713716 247917312 311618288 350570574 467427432 495834624 623236576 701141148 934854864 1246473152 1402282296 1869709728 2492946304 2804564592 3739419456 4985892608 5609129184 7478838912 9971785216 11218258368 14957677824 22436516736 29915355648 44873033472 89746066944