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6666313110016 = 29713117382073
BaseRepresentation
bin110000100000001111100…
…1110011001001000000000
3212121021220211012122000011
41201000133032121020000
51333210102124010031
622102243441234304
71255424311333360
oct141003716311000
925537824178004
106666313110016
112140192a61aaa
128b7b86932994
13394827651331
1419091915c9a0
15b86158de6b1
hex6101f399200

6666313110016 has 160 divisors (see below), whose sum is σ = 15427458972288. Its totient is φ = 2818759557120.

The previous prime is 6666313110013. The next prime is 6666313110053. The reversal of 6666313110016 is 6100113136666.

It is not an unprimeable number, because it can be changed into a prime (6666313110013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81183156 + ... + 81265228.

Almost surely, 26666313110016 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 6666313110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713729486144).

6666313110016 is an abundant number, since it is smaller than the sum of its proper divisors (8761145862272).

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

6666313110016 is a wasteful number, since it uses less digits than its factorization.

6666313110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82402 (or 82386 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 6666313110016 in words is "six trillion, six hundred sixty-six billion, three hundred thirteen million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 173 224 256 262 346 448 512 524 692 896 917 1048 1211 1384 1792 1834 2096 2422 2768 3584 3668 4192 4844 5536 7336 8384 9688 11072 14672 16768 19376 22144 22663 29344 33536 38752 44288 45326 58688 67072 77504 82073 88576 90652 117376 155008 158641 164146 181304 234752 310016 317282 328292 362608 469504 574511 620032 634564 656584 725216 1149022 1269128 1313168 1450432 2298044 2538256 2626336 2900864 4596088 5076512 5252672 5801728 9192176 10153024 10505344 10751563 11603456 14198629 18384352 20306048 21010688 21503126 28397258 36768704 40612096 42021376 43006252 56794516 73537408 75260941 81224192 86012504 99390403 113589032 147074816 150521882 172025008 198780806 227178064 294149632 301043764 344050016 397561612 454356128 602087528 688100032 795123224 908712256 1204175056 1376200064 1590246448 1817424512 1860020399 2408350112 2752400128 3180492896 3634849024 3720040798 4816700224 5504800256 6360985792 7269698048 7440081596 9633400448 12721971584 13020142793 14880163192 19266800896 25443943168 26040285586 29760326384 38533601792 50887886336 52080571172 59520652768 104161142344 119041305536 208322284688 238082611072 416644569376 476165222144 833289138752 952330444288 1666578277504 3333156555008 6666313110016