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16106503168 = 210714992
BaseRepresentation
bin11110000000000010…
…11011110000000000
31112120111020010200101
433000001123300000
5230441231100133
611222122132144
71110064006120
oct170001336000
945514203611
1016106503168
116915779248
123156051054
131698b65a62
14acb176c80
1564403237d
hex3c005bc00

16106503168 has 66 divisors (see below), whose sum is σ = 36821452376. Its totient is φ = 6898182144.

The previous prime is 16106503157. The next prime is 16106503177. The reversal of 16106503168 is 86130560161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10744083 + ... + 10745581.

Almost surely, 216106503168 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 16106503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410726188).

16106503168 is an abundant number, since it is smaller than the sum of its proper divisors (20714949208).

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

16106503168 is an frugal number, since it uses more digits than its factorization.

16106503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 16106503168 in words is "sixteen billion, one hundred six million, five hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1499 1792 2998 3584 5996 7168 10493 11992 20986 23984 41972 47968 83944 95936 167888 191872 335776 383744 671552 767488 1343104 1534976 2247001 2686208 4494002 5372416 8988004 10744832 15729007 17976008 31458014 35952016 62916028 71904032 125832056 143808064 251664112 287616128 503328224 575232256 1006656448 1150464512 2013312896 2300929024 4026625792 8053251584 16106503168