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16008017088 = 2637173197233
BaseRepresentation
bin11101110100010011…
…01111010011000000
31112022121220112011210
432322021233103000
5230241023021323
611204243210120
71104456620520
oct167211572300
945277815153
1016008017088
116875121198
123129076940
13168163237b
14abc05b680
1563a57b293
hex3ba26f4c0

16008017088 has 448 divisors, whose sum is σ = 53680693248. Its totient is φ = 4105175040.

The previous prime is 16008017041. The next prime is 16008017093. The reversal of 16008017088 is 88071080061.

16008017088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×160080170882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68703820 + ... + 68704052.

It is an arithmetic number, because the mean of its divisors is an integer number (119822976).

Almost surely, 216008017088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16008017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840346624).

16008017088 is an abundant number, since it is smaller than the sum of its proper divisors (37672676160).

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

16008017088 is a wasteful number, since it uses less digits than its factorization.

16008017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 16008017088 in words is "sixteen billion, eight million, seventeen thousand, eighty-eight".