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4426398320448 = 263134723375481
BaseRepresentation
bin100000001101001100111…
…1001100100011101000000
3120200011022022100200210010
41000122121321210131000
51040010230432223243
613225243113504520
7634540163634366
oct100323171443500
916604268320703
104426398320448
111457252501925
125b5a47a12140
1326153b581420
1411434b481636
157a21a1d8433
hex40699e64740

4426398320448 has 112 divisors (see below), whose sum is σ = 12615101796416. Its totient is φ = 1361676718080.

The previous prime is 4426398320417. The next prime is 4426398320453. The reversal of 4426398320448 is 8440238936244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11600868 + ... + 11976348.

It is an arithmetic number, because the mean of its divisors is an integer number (112634837468).

Almost surely, 24426398320448 is an apocalyptic number.

4426398320448 is a gapful number since it is divisible by the number (48) 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 4426398320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307550898208).

4426398320448 is an abundant number, since it is smaller than the sum of its proper divisors (8188703475968).

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

4426398320448 is a wasteful number, since it uses less digits than its factorization.

4426398320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380232 (or 380222 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 57.

The spelling of 4426398320448 in words is "four trillion, four hundred twenty-six billion, three hundred ninety-eight million, three hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4723 9446 14169 18892 28338 37784 56676 61399 75568 113352 122798 151136 184197 226704 245596 302272 368394 375481 453408 491192 736788 750962 906816 982384 1126443 1473576 1501924 1964768 2252886 2947152 3003848 3929536 4505772 4881253 5894304 6007696 9011544 9762506 11788608 12015392 14643759 18023088 19525012 24030784 29287518 36046176 39050024 58575036 72092352 78100048 117150072 156200096 234300144 312400192 468600288 937200576 1773396763 3546793526 5320190289 7093587052 10640380578 14187174104 21280761156 23054157919 28374348208 42561522312 46108315838 56748696416 69162473757 85123044624 92216631676 113497392832 138324947514 170246089248 184433263352 276649895028 340492178496 368866526704 553299790056 737733053408 1106599580112 1475466106816 2213199160224 4426398320448