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16168388096 = 29722971313
BaseRepresentation
bin11110000111011011…
…00000011000000000
31112201210200012211202
433003231200120000
5231103101404341
611232212400332
71111445013500
oct170355403000
945653605752
1016168388096
1169476a7313
1231729160a8
1316a8922963
14ad5485a00
156496a879b
hex3c3b60600

16168388096 has 240 divisors, whose sum is σ = 39548852640. Its totient is φ = 6575063040.

The previous prime is 16168388087. The next prime is 16168388129. The reversal of 16168388096 is 69088386161.

It is a happy number.

It is a super-2 number, since 2×161683880962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51656036 + ... + 51656348.

It is an arithmetic number, because the mean of its divisors is an integer number (164786886).

Almost surely, 216168388096 is an apocalyptic number.

16168388096 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 16168388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19774426320).

16168388096 is an abundant number, since it is smaller than the sum of its proper divisors (23380464544).

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

16168388096 is an equidigital number, since it uses as much as digits as its factorization.

16168388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 16168388096 in words is "sixteen billion, one hundred sixty-eight million, three hundred eighty-eight thousand, ninety-six".