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4464244332416 = 271119116600147
BaseRepresentation
bin100000011110110100110…
…1100101001011110000000
3120210202222212022022012002
41000331221230221132000
51041120233022114131
613254502345123132
7640350064503611
oct100755154513600
916722885268162
104464244332416
1114713035a7870
1260124a4894a8
13264c902c244b
141160db94bc08
157b1d2a416cb
hex40f69b29780

4464244332416 has 64 divisors (see below), whose sum is σ = 9752918952960. Its totient is φ = 2018577753600.

The previous prime is 4464244332403. The next prime is 4464244332451. The reversal of 4464244332416 is 6142334424644.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8031146 + ... + 8569001.

It is an arithmetic number, because the mean of its divisors is an integer number (152389358640).

Almost surely, 24464244332416 is an apocalyptic number.

It is an amenable number.

4464244332416 is an abundant number, since it is smaller than the sum of its proper divisors (5288674620544).

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

4464244332416 is a wasteful number, since it uses less digits than its factorization.

4464244332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600363 (or 16600351 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 47.

The spelling of 4464244332416 in words is "four trillion, four hundred sixty-four billion, two hundred forty-four million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 352 382 704 764 1408 1528 2101 3056 4202 6112 8404 12224 16808 24448 33616 67232 134464 268928 16600147 33200294 66400588 132801176 182601617 265602352 365203234 531204704 730406468 1062409408 1460812936 2124818816 2921625872 3170628077 5843251744 6341256154 11686503488 12682512308 23373006976 25365024616 34876908847 50730049232 69753817694 101460098464 139507635388 202920196928 279015270776 405840393856 558030541552 1116061083104 2232122166208 4464244332416