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93382680320 = 285436732521
BaseRepresentation
bin101011011111000001…
…0101001111100000000
322221000222222200011122
41112332002221330000
53012221431232240
6110522134531412
76514052454206
oct1267602517400
9287028880148
1093382680320
11366700a7966
1216121806b68
138a62892977
14473c27b076
1526683124b5
hex15be0a9f00

93382680320 has 144 divisors (see below), whose sum is σ = 229313596512. Its totient is φ = 36415733760.

The previous prime is 93382680319. The next prime is 93382680323. The reversal of 93382680320 is 2308628339.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93382680323) 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 15 ways as a sum of consecutive naturals, for example, 37040660 + ... + 37043180.

Almost surely, 293382680320 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 93382680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114656798256).

93382680320 is an abundant number, since it is smaller than the sum of its proper divisors (135930916192).

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

93382680320 is a wasteful number, since it uses less digits than its factorization.

93382680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 93382680320 in words is "ninety-three billion, three hundred eighty-two million, six hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 673 688 860 1280 1346 1376 1720 2521 2692 2752 3365 3440 5042 5384 5504 6730 6880 10084 10768 11008 12605 13460 13760 20168 21536 25210 26920 27520 28939 40336 43072 50420 53840 55040 57878 80672 86144 100840 107680 108403 115756 144695 161344 172288 201680 215360 216806 231512 289390 322688 403360 430720 433612 463024 542015 578780 645376 806720 861440 867224 926048 1084030 1157560 1613440 1696633 1734448 1852096 2168060 2315120 3226880 3393266 3468896 3704192 4336120 4630240 6786532 6937792 7408384 8483165 8672240 9260480 13573064 13875584 16966330 17344480 18520960 27146128 27751168 33932660 34688960 37041920 54292256 67865320 69377920 72955219 108584512 135730640 138755840 145910438 217169024 271461280 291820876 364776095 434338048 542922560 583641752 729552190 1085845120 1167283504 1459104380 2171690240 2334567008 2918208760 4669134016 5836417520 9338268032 11672835040 18676536064 23345670080 46691340160 93382680320