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1484085843744 = 253713271664251
BaseRepresentation
bin10101100110001010011…
…010001101011100100000
312020212200111100020101220
4111212022122031130200
5143303401433444434
63053440222055040
7212136013350360
oct25461232153440
95225614306356
101484085843744
11522440850239
121bb76141a480
13a9c443885ba
1451b89c829a0
15289101add49
hex1598a68d720

1484085843744 has 96 divisors (see below), whose sum is σ = 4455615338496. Its totient is φ = 423704736000.

The previous prime is 1484085843677. The next prime is 1484085843781. The reversal of 1484085843744 is 4473485804841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 59619 + ... + 1723869.

It is an arithmetic number, because the mean of its divisors is an integer number (46412659776).

Almost surely, 21484085843744 is an apocalyptic number.

1484085843744 is a gapful number since it is divisible by the number (14) 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 1484085843744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227807669248).

1484085843744 is an abundant number, since it is smaller than the sum of its proper divisors (2971529494752).

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

1484085843744 is a wasteful number, since it uses less digits than its factorization.

1484085843744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665598 (or 1665590 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 60.

The spelling of 1484085843744 in words is "one trillion, four hundred eighty-four billion, eighty-five million, eight hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1327 2654 3981 5308 7962 9289 10616 15924 18578 21232 27867 31848 37156 42464 55734 63696 74312 111468 127392 148624 222936 297248 445872 891744 1664251 3328502 4992753 6657004 9985506 11649757 13314008 19971012 23299514 26628016 34949271 39942024 46599028 53256032 69898542 79884048 93198056 139797084 159768096 186396112 279594168 372792224 559188336 1118376672 2208461077 4416922154 6625383231 8833844308 13250766462 15459227539 17667688616 26501532924 30918455078 35335377232 46377682617 53003065848 61836910156 70670754464 92755365234 106006131696 123673820312 185510730468 212012263392 247347640624 371021460936 494695281248 742042921872 1484085843744