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16026613344 = 253473723873
BaseRepresentation
bin11101110110100001…
…01011011001100000
31112100220220022110000
432323100223121200
5230310303111334
611210145540000
71105103652150
oct167320533140
945326808400
1016026613344
1168846728a5
123133344600
131685443881
14ac06dc760
1563c001299
hex3bb42b660

16026613344 has 240 divisors, whose sum is σ = 55325416608. Its totient is φ = 4455088128.

The previous prime is 16026613219. The next prime is 16026613429. The reversal of 16026613344 is 44331662061.

16026613344 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 6 + 613 + 34 + 4 = 666.

16026613344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 16026613299 and 16026613308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659392 + ... + 683264.

Almost surely, 216026613344 is an apocalyptic number.

16026613344 is a gapful number since it is divisible by the number (14) 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 16026613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662708304).

16026613344 is an abundant number, since it is smaller than the sum of its proper divisors (39298803264).

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

16026613344 is a wasteful number, since it uses less digits than its factorization.

16026613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 16026613344 in words is "sixteen billion, twenty-six million, six hundred thirteen thousand, three hundred forty-four".