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99108484224 = 273717394919
BaseRepresentation
bin101110001001101010…
…0110111010010000000
3100110211001002122111220
41130103110313102000
53110433232443344
6113310234435040
710106000134101
oct1342324672200
9313731078456
1099108484224
1139039179102
121725b292a80
139465bc6a09
144b228b23a8
1528a0d36c19
hex1713537480

99108484224 has 128 divisors (see below), whose sum is σ = 267380352000. Its totient is φ = 32520176640.

The previous prime is 99108484207. The next prime is 99108484261. The reversal of 99108484224 is 42248480199.

It is a Cunningham number, because it is equal to 3148152-1.

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

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, 20145637 + ... + 20150555.

It is an arithmetic number, because the mean of its divisors is an integer number (2088909000).

Almost surely, 299108484224 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 99108484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133690176000).

99108484224 is an abundant number, since it is smaller than the sum of its proper divisors (168271867776).

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

99108484224 is a wasteful number, since it uses less digits than its factorization.

99108484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 99108484224 in words is "ninety-nine billion, one hundred eight million, four hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 739 852 1136 1478 1704 2217 2272 2956 3408 4434 4544 4919 5912 6816 8868 9088 9838 11824 13632 14757 17736 19676 23648 27264 29514 35472 39352 47296 52469 59028 70944 78704 94592 104938 118056 141888 157407 157408 209876 236112 283776 314814 314816 349249 419752 472224 629628 629632 698498 839504 944448 1047747 1259256 1396996 1679008 1888896 2095494 2518512 2793992 3358016 3635141 4190988 5037024 5587984 6716032 7270282 8381976 10074048 10905423 11175968 14540564 16763952 20148096 21810846 22351936 29081128 33527904 43621692 44703872 58162256 67055808 87243384 116324512 134111616 174486768 232649024 258095011 348973536 465298048 516190022 697947072 774285033 1032380044 1395894144 1548570066 2064760088 3097140132 4129520176 6194280264 8259040352 12388560528 16518080704 24777121056 33036161408 49554242112 99108484224