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16420150656 = 2733713109479
BaseRepresentation
bin11110100101011011…
…11001110110000000
31120101100102002011000
433102231321312000
5232112024310111
611313204452000
71120622656230
oct172255716600
946340362130
1016420150656
116a66824248
1232230aa000
131718b316a0
14b1aa9dcc0
15661839c56
hex3d2b79d80

16420150656 has 512 divisors, whose sum is σ = 60318720000. Its totient is φ = 4281901056.

The previous prime is 16420150651. The next prime is 16420150661. The reversal of 16420150656 is 65605102461.

16420150656 is a `hidden beast` number, since 1 + 642 + 0 + 1 + 5 + 0 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16420150651) and next prime (16420150661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16420150656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420150651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34279825 + ... + 34280303.

It is an arithmetic number, because the mean of its divisors is an integer number (117810000).

Almost surely, 216420150656 is an apocalyptic number.

16420150656 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 16420150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360000).

16420150656 is an abundant number, since it is smaller than the sum of its proper divisors (43898569344).

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

16420150656 is a wasteful number, since it uses less digits than its factorization.

16420150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16420150656 in words is "sixteen billion, four hundred twenty million, one hundred fifty thousand, six hundred fifty-six".