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16223161248 = 2533719141179
BaseRepresentation
bin11110001101111100…
…11100101110100000
31112212121201222111000
433012332130232200
5231211112124443
611241450352000
71113011411130
oct170676345640
945777658430
1016223161248
116975608188
12318912b600
1316b708c7c8
14adc862ac0
1564e3c78d3
hex3c6f9cba0

16223161248 has 192 divisors, whose sum is σ = 56923776000. Its totient is φ = 4391200512.

The previous prime is 16223161223. The next prime is 16223161249. The reversal of 16223161248 is 84216132261.

It is a happy number.

16223161248 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 31 + 612 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16223161249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44323 + ... + 185501.

It is an arithmetic number, because the mean of its divisors is an integer number (296478000).

Almost surely, 216223161248 is an apocalyptic number.

16223161248 is a gapful number since it is divisible by the number (18) 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 16223161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461888000).

16223161248 is an abundant number, since it is smaller than the sum of its proper divisors (40700614752).

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

16223161248 is a wasteful number, since it uses less digits than its factorization.

16223161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141224 (or 141210 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 16223161248 in words is "sixteen billion, two hundred twenty-three million, one hundred sixty-one thousand, two hundred forty-eight".