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96005133888 = 2632340035431
BaseRepresentation
bin101100101101001011…
…0100001011001000000
3100011210202121010011120
41121122112201121000
53033104303241023
6112034255112240
76636045113346
oct1313226413100
9304722533146
1096005133888
1137796439064
1216733b12680
13908cc97a41
14490a685996
15276d67a8e3
hex165a5a1640

96005133888 has 112 divisors (see below), whose sum is σ = 265172683776. Its totient is φ = 30597050880.

The previous prime is 96005133883. The next prime is 96005133989. The reversal of 96005133888 is 88833150069.

It is a self number, because there is not a number n which added to its sum of digits gives 96005133888.

It is not an unprimeable number, because it can be changed into a prime (96005133883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17674533 + ... + 17679963.

It is an arithmetic number, because the mean of its divisors is an integer number (2367613248).

Almost surely, 296005133888 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 96005133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132586341888).

96005133888 is an abundant number, since it is smaller than the sum of its proper divisors (169167549888).

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

96005133888 is a wasteful number, since it uses less digits than its factorization.

96005133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 96005133888 in words is "ninety-six billion, five million, one hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4003 4416 5431 8006 10862 12009 16012 16293 21724 24018 32024 32586 43448 48036 64048 65172 86896 92069 96072 124913 128096 130344 173792 184138 192144 249826 256192 260688 276207 347584 368276 374739 384288 499652 521376 552414 736552 749478 768576 999304 1042752 1104828 1473104 1498956 1998608 2209656 2946208 2997912 3997216 4419312 5892416 5995824 7994432 8838624 11991648 17677248 21740293 23983296 43480586 65220879 86961172 130441758 173922344 260883516 347844688 500026739 521767032 695689376 1000053478 1043534064 1391378752 1500080217 2000106956 2087068128 3000160434 4000213912 4174136256 6000320868 8000427824 12000641736 16000855648 24001283472 32001711296 48002566944 96005133888