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16342609536 = 27321119103659
BaseRepresentation
bin11110011100001100…
…00110111010000000
31120011221111120201200
433032012012322000
5231432202001121
611301354501200
71115661613641
oct171606067200
946157446650
1016342609536
116a26a82480
123201134800
131705a52576
14b106776c8
15659b1ea26
hex3ce186e80

16342609536 has 384 divisors, whose sum is σ = 54609984000. Its totient is φ = 4639057920.

The previous prime is 16342609531. The next prime is 16342609537. The reversal of 16342609536 is 63590624361.

16342609536 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 2 + 609 + 5 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 16342609491 and 16342609500.

It is not an unprimeable number, because it can be changed into a prime (16342609531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24798775 + ... + 24799433.

It is an arithmetic number, because the mean of its divisors is an integer number (142213500).

Almost surely, 216342609536 is an apocalyptic number.

16342609536 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 16342609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304992000).

16342609536 is an abundant number, since it is smaller than the sum of its proper divisors (38267374464).

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

16342609536 is a wasteful number, since it uses less digits than its factorization.

16342609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 16342609536 in words is "sixteen billion, three hundred forty-two million, six hundred nine thousand, five hundred thirty-six".