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16460890000 = 245412832
BaseRepresentation
bin11110101010010010…
…10011111110010000
31120111012001212000121
433111021103332100
5232202441440000
611321222000024
71121626153642
oct172511237620
946435055017
1016460890000
116a8781a325
123234876014
1317243c68c9
14b22266892
156651d5b1a
hex3d5253f90

16460890000 has 75 divisors (see below), whose sum is σ = 39884547703. Its totient is φ = 6579224000.

The previous prime is 16460889997. The next prime is 16460890031. The reversal of 16460890000 is 9806461.

The square root of 16460890000 is 128300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1290533776 + 15170356224 = 35924^2 + 123168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12829359 + ... + 12830641.

Almost surely, 216460890000 is an apocalyptic number.

16460890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16460890000 is the 128300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16460890000

16460890000 is an abundant number, since it is smaller than the sum of its proper divisors (23423657703).

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

16460890000 is an frugal number, since it uses more digits than its factorization.

16460890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 16460890000 in words is "sixteen billion, four hundred sixty million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1283 2000 2500 2566 5000 5132 6415 10000 10264 12830 20528 25660 32075 51320 64150 102640 128300 160375 256600 320750 513200 641500 801875 1283000 1603750 1646089 2566000 3207500 3292178 6415000 6584356 8230445 12830000 13168712 16460890 26337424 32921780 41152225 65843560 82304450 131687120 164608900 205761125 329217800 411522250 658435600 823044500 1028805625 1646089000 2057611250 3292178000 4115222500 8230445000 16460890000