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4389268023364 = 227226325692
BaseRepresentation
bin111111110111110100110…
…000101110100001000100
3120112121110122011011121211
4333313310300232201010
51033403210103221424
613200222450421204
7632054103420400
oct77676460564104
916477418134554
104389268023364
11144252940a094
125aa804b91804
1325aba1bc2633
14112628080100
1579295608b94
hex3fdf4c2e844

4389268023364 has 81 divisors (see below), whose sum is σ = 8985190454877. Its totient is φ = 1870668907968.

The previous prime is 4389268023331. The next prime is 4389268023409. The reversal of 4389268023364 is 4633208629834.

The square root of 4389268023364 is 2095058.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 723421693764 + 3665846329600 = 850542^2 + 1914640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4389268023299 and 4389268023308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7714003272 + ... + 7714003840.

Almost surely, 24389268023364 is an apocalyptic number.

4389268023364 is the 2095058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4389268023364

4389268023364 is an abundant number, since it is smaller than the sum of its proper divisors (4595922431513).

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

4389268023364 is an frugal number, since it uses more digits than its factorization.

4389268023364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 58.

The spelling of 4389268023364 in words is "four trillion, three hundred eighty-nine billion, two hundred sixty-eight million, twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 263 526 569 1052 1138 1841 2276 3682 3983 7364 7966 12887 15932 25774 27881 51548 55762 69169 111524 138338 149647 276676 299294 323761 484183 598588 647522 968366 1047529 1295044 1936732 2095058 2266327 3389281 4190116 4532654 6778562 7332703 9065308 13557124 14665406 15864289 29330812 31728578 39357161 63457156 78714322 85149143 157428644 170298286 275500127 340596572 551000254 596044001 1102000508 1192088002 1928500889 2384176004 3857001778 4172308007 7714003556 8344616014 16689232028 22394224609 44788449218 89576898436 156759572263 313519144526 627038289052 1097317005841 2194634011682 4389268023364