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4833321064 = 23111359101709
BaseRepresentation
bin1001000000001011…
…01010000001101000
3110110211202011001021
410200011222001220
534344312233224
62115334502224
7230526360025
oct44005520150
913424664037
104833321064
112060313720
12b2a804974
135c04700c0
1433bcb454c
151d44d01e4
hex12016a068

4833321064 has 128 divisors (see below), whose sum is σ = 10949904000. Its totient is φ = 1971072000.

The previous prime is 4833321049. The next prime is 4833321067. The reversal of 4833321064 is 4601233384.

It is not an unprimeable number, because it can be changed into a prime (4833321067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6816742 + ... + 6817450.

It is an arithmetic number, because the mean of its divisors is an integer number (85546125).

Almost surely, 24833321064 is an apocalyptic number.

4833321064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4833321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474952000).

4833321064 is an abundant number, since it is smaller than the sum of its proper divisors (6116582936).

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

4833321064 is a wasteful number, since it uses less digits than its factorization.

4833321064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 4833321064 is about 69522.0904748987. The cubic root of 4833321064 is about 1690.7596766711.

The spelling of 4833321064 in words is "four billion, eight hundred thirty-three million, three hundred twenty-one thousand, sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 101 104 118 143 202 236 286 404 472 572 649 709 767 808 1111 1144 1298 1313 1418 1534 2222 2596 2626 2836 3068 4444 5192 5252 5672 5959 6136 7799 8437 8888 9217 10504 11918 14443 15598 16874 18434 23836 28886 31196 33748 36868 41831 47672 57772 62392 65549 67496 71609 73736 77467 83662 101387 115544 131098 143218 154934 167324 202774 262196 286436 309868 334648 405548 460141 524392 543803 572872 619736 787699 811096 852137 920282 930917 1087606 1575398 1704274 1840564 1861834 2175212 3150796 3408548 3681128 3723668 4224931 4350424 5981833 6301592 6817096 7447336 8449862 10240087 11963666 16899724 20480174 23927332 33799448 40960348 46474241 47854664 54924103 81920696 92948482 109848206 185896964 219696412 371793928 439392824 604165133 1208330266 2416660532 4833321064