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16842060216 = 2333523149087
BaseRepresentation
bin11111010111101110…
…10111000110111000
31121110202022022021000
433223313113012320
5233443031411331
611423115445000
71134235102242
oct175367270670
947422268230
1016842060216
1171629a4133
123320456760
131785374607
14b5ab29092
156888ca0e6
hex3ebdd71b8

16842060216 has 64 divisors (see below), whose sum is σ = 46873267200. Its totient is φ = 5603248224.

The previous prime is 16842060181. The next prime is 16842060241. The reversal of 16842060216 is 61206024861.

16842060216 is a `hidden beast` number, since 1 + 6 + 8 + 42 + 0 + 602 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38425 + ... + 187511.

It is an arithmetic number, because the mean of its divisors is an integer number (732394800).

Almost surely, 216842060216 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 16842060216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436633600).

16842060216 is an abundant number, since it is smaller than the sum of its proper divisors (30031206984).

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

16842060216 is a wasteful number, since it uses less digits than its factorization.

16842060216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149625 (or 149615 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16842060216 in words is "sixteen billion, eight hundred forty-two million, sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 523 1046 1569 2092 3138 4184 4707 6276 9414 12552 14121 18828 28242 37656 56484 112968 149087 298174 447261 596348 894522 1192696 1341783 1789044 2683566 3578088 4025349 5367132 8050698 10734264 16101396 32202792 77972501 155945002 233917503 311890004 467835006 623780008 701752509 935670012 1403505018 1871340024 2105257527 2807010036 4210515054 5614020072 8421030108 16842060216