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93049425280 = 2757127163543
BaseRepresentation
bin101011010101000101…
…1011000110110000000
322220011202220120012101
41112222023120312000
53011031123102110
6110425112040144
76502565031160
oct1265213306600
9286152816171
1093049425280
1136509a7a479
121604a093054
138a0b820436
144709ccc5a0
152648e3513a
hex15aa2d8d80

93049425280 has 128 divisors (see below), whose sum is σ = 256227655680. Its totient is φ = 31651264512.

The previous prime is 93049425241. The next prime is 93049425361. The reversal of 93049425280 is 8252494039.

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

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 93049425280.

It is a congruent number.

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, 487189 + ... + 650731.

It is an arithmetic number, because the mean of its divisors is an integer number (2001778560).

Almost surely, 293049425280 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 93049425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128113827840).

93049425280 is an abundant number, since it is smaller than the sum of its proper divisors (163178230400).

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

93049425280 is a wasteful number, since it uses less digits than its factorization.

93049425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163696 (or 163684 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 93049425280 in words is "ninety-three billion, forty-nine million, four hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 280 320 448 508 560 635 640 889 896 1016 1120 1270 1778 2032 2240 2540 3556 4064 4445 4480 5080 7112 8128 8890 10160 14224 16256 17780 20320 28448 35560 40640 56896 71120 81280 113792 142240 163543 284480 327086 568960 654172 817715 1144801 1308344 1635430 2289602 2616688 3270860 4579204 5233376 5724005 6541720 9158408 10466752 11448010 13083440 18316816 20769961 20933504 22896020 26166880 36633632 41539922 45792040 52333760 73267264 83079844 91584080 103849805 104667520 145389727 146534528 166159688 183168160 207699610 290779454 332319376 366336320 415399220 581558908 664638752 726948635 732672640 830798440 1163117816 1329277504 1453897270 1661596880 2326235632 2658555008 2907794540 3323193760 4652471264 5815589080 6646387520 9304942528 11631178160 13292775040 18609885056 23262356320 46524712640 93049425280