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16341937920 = 283457112389
BaseRepresentation
bin11110011100000111…
…00010111100000000
31120011220020110110000
433032003202330000
5231432014003140
611301332240000
71115653115610
oct171603427400
946156213400
1016341937920
116a26663920
123200a70000
131705878969
14b10540a40
15659a3aa30
hex3ce0e2f00

16341937920 has 1440 divisors, whose sum is σ = 76927656960. Its totient is φ = 3211591680.

The previous prime is 16341937883. The next prime is 16341937921. The reversal of 16341937920 is 2973914361.

16341937920 is a `hidden beast` number, since 1 + 634 + 1 + 9 + 3 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×163419379202 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16341937921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 183617236 + ... + 183617324.

It is an arithmetic number, because the mean of its divisors is an integer number (53421984).

Almost surely, 216341937920 is an apocalyptic number.

16341937920 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 16341937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38463828480).

16341937920 is an abundant number, since it is smaller than the sum of its proper divisors (60585719040).

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

16341937920 is a wasteful number, since it uses less digits than its factorization.

16341937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 16341937920 in words is "sixteen billion, three hundred forty-one million, nine hundred thirty-seven thousand, nine hundred twenty".