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4444621664464 = 242983691167017
BaseRepresentation
bin100000010101101100000…
…0110000111000011010000
3120201220100022210111012101
41000223120012013003100
51040310041121230324
613241455255210144
7636053603541262
oct100533006070320
916656308714171
104444621664464
111463a54070a13
125b9492976954
13263183b50517
14115199809b32
157a934eac944
hex40ad81870d0

4444621664464 has 80 divisors (see below), whose sum is σ = 9028832742720. Its totient is φ = 2116747422720.

The previous prime is 4444621664453. The next prime is 4444621664479. The reversal of 4444621664464 is 4644661264444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26528284 + ... + 26695300.

It is an arithmetic number, because the mean of its divisors is an integer number (112860409284).

Almost surely, 24444621664464 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 4444621664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514416371360).

4444621664464 is an abundant number, since it is smaller than the sum of its proper divisors (4584211078256).

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

4444621664464 is a wasteful number, since it uses less digits than its factorization.

4444621664464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167828 (or 167822 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 55.

The spelling of 4444621664464 in words is "four trillion, four hundred forty-four billion, six hundred twenty-one million, six hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 83 116 166 232 332 464 664 691 1328 1382 2407 2764 4814 5528 9628 11056 19256 20039 38512 40078 57353 80156 114706 160312 167017 229412 320624 334034 458824 668068 917648 1336136 1663237 2672272 3326474 4843493 6652948 9686986 13305896 13862411 19373972 26611792 27724822 38747944 55449644 77495888 110899288 115408747 221798576 230817494 402009919 461634988 804019838 923269976 1608039676 1846539952 3216079352 3346853663 6432158704 6693707326 9578926001 13387414652 19157852002 26774829304 38315704004 53549658608 76631408008 153262816016 277788854029 555577708058 1111155416116 2222310832232 4444621664464