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16483429440 = 263255997007
BaseRepresentation
bin11110101100111110…
…10010110001000000
31120112202110222022200
433112133102301000
5232224224220230
611323345033200
71122321560412
oct172637226100
946482428280
1016483429440
116a99514565
123240325800
131728c88b5a
14b252529b2
15667189160
hex3d67d2c40

16483429440 has 168 divisors, whose sum is σ = 57657674880. Its totient is φ = 4321035264.

The previous prime is 16483429433. The next prime is 16483429453. The reversal of 16483429440 is 4492438461.

16483429440 is a `hidden beast` number, since 1 + 6 + 483 + 42 + 94 + 40 = 666.

16483429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164834294402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 121417 + ... + 218423.

Almost surely, 216483429440 is an apocalyptic number.

16483429440 is a gapful number since it is divisible by the number (10) 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 16483429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828837440).

16483429440 is an abundant number, since it is smaller than the sum of its proper divisors (41174245440).

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

16483429440 is a wasteful number, since it uses less digits than its factorization.

16483429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97089 (or 97076 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 16483429440 in words is "sixteen billion, four hundred eighty-three million, four hundred twenty-nine thousand, four hundred forty".