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16868662416 = 2432197594637
BaseRepresentation
bin11111011010111001…
…10101110010010000
31121112121100211121200
433231130311302100
5234021334144131
611425505551200
71135010156544
oct175534656220
947477324550
1016868662416
117176a13821
123329345500
13178aa29b68
14b60491a24
1568add22e6
hex3ed735c90

16868662416 has 60 divisors (see below), whose sum is σ = 47448544572. Its totient is φ = 5594335488.

The previous prime is 16868662373. The next prime is 16868662523. The reversal of 16868662416 is 61426686861.

16868662416 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 8 + 6 + 624 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16734009600 + 134652816 = 129360^2 + 11604^2 .

It is a super-3 number, since 3×168686624163 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268951 + ... + 325686.

Almost surely, 216868662416 is an apocalyptic number.

16868662416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16868662416 is an abundant number, since it is smaller than the sum of its proper divisors (30579882156).

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

16868662416 is a wasteful number, since it uses less digits than its factorization.

16868662416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594848 (or 594839 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 16868662416 in words is "sixteen billion, eight hundred sixty-eight million, six hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 594637 1189274 1783911 2378548 3567822 4757096 5351733 7135644 9514192 10703466 14271288 21406932 28542576 42813864 85627728 117143489 234286978 351430467 468573956 702860934 937147912 1054291401 1405721868 1874295824 2108582802 2811443736 4217165604 5622887472 8434331208 16868662416