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4723852896 = 253276913391
BaseRepresentation
bin1000110011001000…
…00100011001100000
3110012012202120221200
410121210010121200
534133301243041
62100424321200
7225030041610
oct43144043140
913165676850
104723852896
112004545664
12aba013200
135a3892b39
1432b53aa40
151c9aaa1b6
hex119904660

4723852896 has 144 divisors (see below), whose sum is σ = 15379273728. Its totient is φ = 1347321600.

The previous prime is 4723852879. The next prime is 4723852909. The reversal of 4723852896 is 6982583274.

4723852896 is a `hidden beast` number, since 4 + 7 + 23 + 8 + 528 + 96 = 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, 1391361 + ... + 1394751.

It is an arithmetic number, because the mean of its divisors is an integer number (106800512).

Almost surely, 24723852896 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 4723852896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689636864).

4723852896 is an abundant number, since it is smaller than the sum of its proper divisors (10655420832).

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

4723852896 is a wasteful number, since it uses less digits than its factorization.

4723852896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4094 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4723852896 is about 68730.2909640284. The cubic root of 4723852896 is about 1677.8976082098.

The spelling of 4723852896 in words is "four billion, seven hundred twenty-three million, eight hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 691 1008 1382 2016 2073 2764 3391 4146 4837 5528 6219 6782 8292 9674 10173 11056 12438 13564 14511 16584 19348 20346 22112 23737 24876 27128 29022 30519 33168 38696 40692 43533 47474 49752 54256 58044 61038 66336 71211 77392 81384 87066 94948 99504 108512 116088 122076 142422 154784 162768 174132 189896 199008 213633 232176 244152 284844 325536 348264 379792 427266 464352 488304 569688 696528 759584 854532 976608 1139376 1393056 1709064 2278752 2343181 3418128 4686362 6836256 7029543 9372724 14059086 16402267 18745448 21088629 28118172 32804534 37490896 42177258 49206801 56236344 65609068 74981792 84354516 98413602 112472688 131218136 147620403 168709032 196827204 224945376 262436272 295240806 337418064 393654408 524872544 590481612 674836128 787308816 1180963224 1574617632 2361926448 4723852896