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4899709152 = 2532132945127
BaseRepresentation
bin1001001000000101…
…11010000011100000
3110122110200000101100
410210002322003200
540013311143102
62130105434400
7232263561222
oct44402720340
913573600340
104899709152
112094838008
12b48a9ba00
136011458b0
14346a36412
151da245a1c
hex1240ba0e0

4899709152 has 144 divisors (see below), whose sum is σ = 15523129440. Its totient is φ = 1455584256.

The previous prime is 4899709147. The next prime is 4899709187. The reversal of 4899709152 is 2519079984.

4899709152 is a `hidden beast` number, since 489 + 9 + 7 + 0 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86013 + ... + 131139.

It is an arithmetic number, because the mean of its divisors is an integer number (107799510).

Almost surely, 24899709152 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 4899709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761564720).

4899709152 is an abundant number, since it is smaller than the sum of its proper divisors (10623420288).

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

4899709152 is a wasteful number, since it uses less digits than its factorization.

4899709152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45185 (or 45174 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 4899709152 is about 69997.9224834566. The cubic root of 4899709152 is about 1698.4656457870.

The spelling of 4899709152 in words is "four billion, eight hundred ninety-nine million, seven hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3744 4176 4524 6032 6786 8352 9048 12064 13572 18096 27144 36192 45127 54288 90254 108576 135381 180508 270762 361016 406143 541524 586651 722032 812286 1083048 1173302 1308683 1444064 1624572 1759953 2166096 2346604 2617366 3249144 3519906 3926049 4332192 4693208 5234732 5279859 6498288 7039812 7852098 9386416 10469464 10559718 11778147 12996576 14079624 15704196 17012879 18772832 20938928 21119436 23556294 28159248 31408392 34025758 41877856 42238872 47112588 51038637 56318496 62816784 68051516 84477744 94225176 102077274 125633568 136103032 153115911 168955488 188450352 204154548 272206064 306231822 376900704 408309096 544412128 612463644 816618192 1224927288 1633236384 2449854576 4899709152