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16800977088 = 2632719219311
BaseRepresentation
bin11111010010110101…
…01001000011000000
31121100220000001210200
433221122221003000
5233402022231323
611415051125200
71133225643330
oct175132510300
947326001720
1016800977088
117141793835
12330a743800
1317799bba7c
14b554b30c0
15684eb2443
hex3e96a90c0

16800977088 has 168 divisors, whose sum is σ = 57933457920. Its totient is φ = 4547612160.

The previous prime is 16800977041. The next prime is 16800977111. The reversal of 16800977088 is 88077900861.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×168009770882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33048 + ... + 186263.

Almost surely, 216800977088 is an apocalyptic number.

16800977088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16800977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28966728960).

16800977088 is an abundant number, since it is smaller than the sum of its proper divisors (41132480832).

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

16800977088 is a wasteful number, since it uses less digits than its factorization.

16800977088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219355 (or 219342 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 16800977088 in words is "sixteen billion, eight hundred million, nine hundred seventy-seven thousand, eighty-eight".