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16225735680 = 21032571117269
BaseRepresentation
bin11110001110010000…
…10001010000000000
31112212210120202221100
433013020101100000
5231212242020210
611242021454400
71113042322560
oct170710212000
945783522840
1016225735680
116977006410
123189b71400
1316b778153b
14adcd32da0
1564e7355c0
hex3c7211400

16225735680 has 1056 divisors, whose sum is σ = 74493768960. Its totient is φ = 3161456640.

The previous prime is 16225735667. The next prime is 16225735703. The reversal of 16225735680 is 8653752261.

16225735680 is a `hidden beast` number, since 1 + 6 + 22 + 573 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60318586 + ... + 60318854.

Almost surely, 216225735680 is an apocalyptic number.

16225735680 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 16225735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246884480).

16225735680 is an abundant number, since it is smaller than the sum of its proper divisors (58268033280).

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

16225735680 is a wasteful number, since it uses less digits than its factorization.

16225735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16225735680 in words is "sixteen billion, two hundred twenty-five million, seven hundred thirty-five thousand, six hundred eighty".