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6342103103166 = 2322947932037919
BaseRepresentation
bin101110001001010001011…
…0011010111011010111110
3211110022002001212211022200
41130102202303113122332
51312402111343300131
621253304423452330
71223126140624455
oct134224263273276
924408061784280
106342103103166
112025741955286
128651855b70a6
13370099b773ac
1417cd60955b9c
15aee8caaa2e6
hex5c4a2cd76be

6342103103166 has 96 divisors (see below), whose sum is σ = 14250981888000. Its totient is φ = 2035982324544.

The previous prime is 6342103103093. The next prime is 6342103103227. The reversal of 6342103103166 is 6613013012436.

6342103103166 is a `hidden beast` number, since 6 + 3 + 4 + 21 + 0 + 310 + 316 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6342103103166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800867755 + ... + 800875673.

It is an arithmetic number, because the mean of its divisors is an integer number (148447728000).

Almost surely, 26342103103166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342103103166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125490944000).

6342103103166 is an abundant number, since it is smaller than the sum of its proper divisors (7908878784834).

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

6342103103166 is a wasteful number, since it uses less digits than its factorization.

6342103103166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 6342103103166 in words is "six trillion, three hundred forty-two billion, one hundred three million, one hundred three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 479 522 958 1437 2874 3203 4311 6406 7919 8622 9609 13891 15838 19218 23757 27782 28827 41673 47514 57654 71271 83346 92887 125019 142542 185774 229651 250038 278661 459302 557322 688953 835983 1377906 1534237 1671966 2066859 3068474 3793201 4133718 4602711 7586402 9205422 11379603 13808133 22759206 25364557 27616266 34138809 44492873 50729114 68277618 76093671 88985746 110002829 133478619 152187342 220005658 228281013 266957238 330008487 400435857 456562026 660016974 735572153 800871714 990025461 1471144306 1980050922 2206716459 4413432918 6620149377 12149622803 13240298754 24299245606 36448868409 72897736818 109346605227 218693210454 352339061287 704678122574 1057017183861 2114034367722 3171051551583 6342103103166