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16812656688 = 2434319940933
BaseRepresentation
bin11111010100001110…
…01100100000110000
31121101200222110012110
433222013030200300
5233413020003223
611420145325320
71133430136542
oct175207144060
947350873173
1016812656688
1171483408a3
123312636840
13177c24ac89
14b56c73692
1568601cd93
hex3ea1cc830

16812656688 has 80 divisors (see below), whose sum is σ = 44667180800. Its totient is φ = 5446248192.

The previous prime is 16812656687. The next prime is 16812656717. The reversal of 16812656688 is 88665621861.

It is a happy number.

It is a super-2 number, since 2×168126566882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16812656687) 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, 390270 + ... + 431202.

It is an arithmetic number, because the mean of its divisors is an integer number (558339760).

Almost surely, 216812656688 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 16812656688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333590400).

16812656688 is an abundant number, since it is smaller than the sum of its proper divisors (27854524112).

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

16812656688 is a wasteful number, since it uses less digits than its factorization.

16812656688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41186 (or 41180 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 16812656688 in words is "sixteen billion, eight hundred twelve million, six hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 199 258 344 398 516 597 688 796 1032 1194 1592 2064 2388 3184 4776 8557 9552 17114 25671 34228 40933 51342 68456 81866 102684 122799 136912 163732 205368 245598 327464 410736 491196 654928 982392 1760119 1964784 3520238 5280357 7040476 8145667 10560714 14080952 16291334 21121428 24437001 28161904 32582668 42242856 48874002 65165336 84485712 97748004 130330672 195496008 350263681 390992016 700527362 1050791043 1401054724 2101582086 2802109448 4203164172 5604218896 8406328344 16812656688