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161894472480 = 253251379109471
BaseRepresentation
bin1001011011000110101…
…0011001101100100000
3120110212201000022200100
42112301222121230200
510123024441104410
6202212344222400
714460616211406
oct2266152315440
9513781008610
10161894472480
11627282333a4
122746216aa00
13123608b6560
147b9b37d476
154327e578c0
hex25b1a99b20

161894472480 has 288 divisors, whose sum is σ = 602498856960. Its totient is φ = 39346145280.

The previous prime is 161894472463. The next prime is 161894472497. The reversal of 161894472480 is 84274498161.

161894472480 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 94 + 4 + 72 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (161894472463) and next prime (161894472497).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1424145 + ... + 1533615.

It is an arithmetic number, because the mean of its divisors is an integer number (2092009920).

Almost surely, 2161894472480 is an apocalyptic number.

161894472480 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 161894472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301249428480).

161894472480 is an abundant number, since it is smaller than the sum of its proper divisors (440604384480).

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

161894472480 is a wasteful number, since it uses less digits than its factorization.

161894472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109584 (or 109573 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 161894472480 in words is "one hundred sixty-one billion, eight hundred ninety-four million, four hundred seventy-two thousand, four hundred eighty".