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4434665856 = 27346324943
BaseRepresentation
bin1000010000101001…
…11010000110000000
3102110001121100220120
410020110322012000
533040233301411
62012014140240
7214616015655
oct41024720600
912401540816
104434665856
111976287105
12a391b1680
135589ac94a
14300d7dc2c
151ae4d5106
hex10853a180

4434665856 has 64 divisors (see below), whose sum is σ = 11805496320. Its totient is φ = 1474970112.

The previous prime is 4434665843. The next prime is 4434665861. The reversal of 4434665856 is 6585664344.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44346658562 = 39332522508744425472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4434665799 and 4434665808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165321 + ... + 190263.

It is an arithmetic number, because the mean of its divisors is an integer number (184460880).

Almost surely, 24434665856 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 4434665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902748160).

4434665856 is an abundant number, since it is smaller than the sum of its proper divisors (7370830464).

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

4434665856 is a wasteful number, since it uses less digits than its factorization.

4434665856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25423 (or 25411 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The square root of 4434665856 is about 66593.2868688729. The cubic root of 4434665856 is about 1642.9346938306.

The spelling of 4434665856 in words is "four billion, four hundred thirty-four million, six hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 24943 29632 44448 49886 59264 74829 88896 99772 149658 177792 199544 299316 399088 598632 798176 1197264 1596352 2394528 3192704 4789056 9578112 11548609 23097218 34645827 46194436 69291654 92388872 138583308 184777744 277166616 369555488 554333232 739110976 1108666464 1478221952 2217332928 4434665856