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4828135776 = 253674211783
BaseRepresentation
bin1000111111100011…
…11000000101100000
3110110110222201011120
410133301320011200
534342000321101
62115031412240
7230434322412
oct43761700540
913413881146
104828135776
1120583a1962
12b28b24080
135bc375b99
1433b3249b2
151d3d08b36
hex11fc78160

4828135776 has 96 divisors (see below), whose sum is σ = 12900803328. Its totient is φ = 1580705280.

The previous prime is 4828135751. The next prime is 4828135777. The reversal of 4828135776 is 6775318284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48281357762 = 46621790142982244352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828135777) 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, 2706981 + ... + 2708763.

It is an arithmetic number, because the mean of its divisors is an integer number (134383368).

Almost surely, 24828135776 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 4828135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450401664).

4828135776 is an abundant number, since it is smaller than the sum of its proper divisors (8072667552).

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

4828135776 is a wasteful number, since it uses less digits than its factorization.

4828135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 4828135776 is about 69484.7880906318. The cubic root of 4828135776 is about 1690.1548328667.

The spelling of 4828135776 in words is "four billion, eight hundred twenty-eight million, one hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 421 536 804 842 1072 1263 1608 1684 1783 2144 2526 3216 3368 3566 5052 5349 6432 6736 7132 10104 10698 13472 14264 20208 21396 28207 28528 40416 42792 56414 57056 84621 85584 112828 119461 169242 171168 225656 238922 338484 358383 451312 477844 676968 716766 750643 902624 955688 1353936 1433532 1501286 1911376 2251929 2707872 2867064 3002572 3822752 4503858 5734128 6005144 9007716 11468256 12010288 18015432 24020576 36030864 50293081 72061728 100586162 150879243 201172324 301758486 402344648 603516972 804689296 1207033944 1609378592 2414067888 4828135776