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89436664320 = 293530673797
BaseRepresentation
bin101001101001011010…
…1110011001000000000
322112211222212021211220
41103102311303020000
52431131241224240
6105030414035040
76314216050323
oct1232265631000
9275758767756
1089436664320
1134a25735713
12154001a8a80
1385841c2b63
14448617a7ba
1524d6ba25d0
hex14d2d73200

89436664320 has 160 divisors (see below), whose sum is σ = 286086385728. Its totient is φ = 23835721728.

The previous prime is 89436664319. The next prime is 89436664357. The reversal of 89436664320 is 2346663498.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×894366643202 (a number of 23 digits) contains 22 as substring.

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, 23552662 + ... + 23556458.

Almost surely, 289436664320 is an apocalyptic number.

89436664320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89436664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143043192864).

89436664320 is an abundant number, since it is smaller than the sum of its proper divisors (196649721408).

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

89436664320 is a wasteful number, since it uses less digits than its factorization.

89436664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 89436664320 in words is "eighty-nine billion, four hundred thirty-six million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3067 3797 3840 6134 7594 7680 9201 11391 12268 15188 15335 18402 18985 22782 24536 30376 30670 36804 37970 45564 46005 49072 56955 60752 61340 73608 75940 91128 92010 98144 113910 121504 122680 147216 151880 182256 184020 196288 227820 243008 245360 294432 303760 364512 368040 392576 455640 486016 490720 588864 607520 729024 736080 785152 911280 972032 981440 1177728 1215040 1458048 1472160 1570304 1822560 1944064 1962880 2355456 2430080 2916096 2944320 3645120 3925760 4710912 4860160 5832192 5888640 7290240 7851520 9720320 11645399 11777280 14580480 23290798 23554560 29160960 34936197 46581596 58226995 69872394 93163192 116453990 139744788 174680985 186326384 232907980 279489576 349361970 372652768 465815960 558979152 698723940 745305536 931631920 1117958304 1397447880 1490611072 1863263840 2235916608 2794895760 2981222144 3726527680 4471833216 5589791520 5962444288 7453055360 8943666432 11179583040 14906110720 17887332864 22359166080 29812221440 44718332160 89436664320