Search a number
-
+
96836000480 = 2556717535153
BaseRepresentation
bin101101000101111100…
…0000001101011100000
3100020221200000111212022
41122023320001223200
53041310004003410
6112252535321012
76665454265052
oct1321370015340
9306850014768
1096836000480
113808244146a
1216926220168
13919316718b
144988b678d2
1527bb59d455
hex168be01ae0

96836000480 has 96 divisors (see below), whose sum is σ = 232367141664. Its totient is φ = 38127108096.

The previous prime is 96836000479. The next prime is 96836000531. The reversal of 96836000480 is 8400063869.

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, 18789584 + ... + 18794736.

It is an arithmetic number, because the mean of its divisors is an integer number (2420491059).

Almost surely, 296836000480 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 96836000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116183570832).

96836000480 is an abundant number, since it is smaller than the sum of its proper divisors (135531141184).

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

96836000480 is a wasteful number, since it uses less digits than its factorization.

96836000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 96836000480 in words is "ninety-six billion, eight hundred thirty-six million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 1753 2144 2680 3506 5153 5360 7012 8765 10306 10720 14024 17530 20612 25765 28048 35060 41224 51530 56096 70120 82448 103060 117451 140240 164896 206120 234902 280480 345251 412240 469804 587255 690502 824480 939608 1174510 1381004 1726255 1879216 2349020 2762008 3452510 3758432 4698040 5524016 6905020 9033209 9396080 11048032 13810040 18066418 18792160 27620080 36132836 45166045 55240160 72265672 90332090 144531344 180664180 289062688 361328360 605225003 722656720 1210450006 1445313440 2420900012 3026125015 4841800024 6052250030 9683600048 12104500060 19367200096 24209000120 48418000240 96836000480