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16829869056 = 2103711132421
BaseRepresentation
bin11111010110010001…
…10110110000000000
31121102220100221010120
433223020312300000
5233431421302211
611422002300240
71134026345430
oct175310666000
947386327116
1016829869056
1171570277a0
123318357680
131782996600
14b592742c0
156877bcd06
hex3eb236c00

16829869056 has 528 divisors, whose sum is σ = 60703342848. Its totient is φ = 4025548800.

The previous prime is 16829868997. The next prime is 16829869103. The reversal of 16829869056 is 65096892861.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×168298690562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39975726 + ... + 39976146.

Almost surely, 216829869056 is an apocalyptic number.

16829869056 is a gapful number since it is divisible by the number (16) 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 16829869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30351671424).

16829869056 is an abundant number, since it is smaller than the sum of its proper divisors (43873473792).

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

16829869056 is a wasteful number, since it uses less digits than its factorization.

16829869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 16829869056 in words is "sixteen billion, eight hundred twenty-nine million, eight hundred sixty-nine thousand, fifty-six".