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161181480960 = 2113351961503
BaseRepresentation
bin1001011000011100101…
…0100011100000000000
3120102001000101121012000
42112013022203200000
510120044424342320
6202013514304000
714434140661053
oct2260712434000
9512030347160
10161181480960
11623a1820305
12272a3428000
1312278c78a96
147b307c2a9a
1542d556ac90
hex25872a3800

161181480960 has 768 divisors, whose sum is σ = 614210688000. Its totient is φ = 39972372480.

The previous prime is 161181480937. The next prime is 161181480983. The reversal of 161181480960 is 69084181161.

It is a happy number.

161181480960 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 81 + 480 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161181480937) and next prime (161181480983).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 320440069 + ... + 320440571.

It is an arithmetic number, because the mean of its divisors is an integer number (799753500).

Almost surely, 2161181480960 is an apocalyptic number.

161181480960 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 161181480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344000).

161181480960 is an abundant number, since it is smaller than the sum of its proper divisors (453029207040).

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

161181480960 is a wasteful number, since it uses less digits than its factorization.

161181480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 161181480960 in words is "one hundred sixty-one billion, one hundred eighty-one million, four hundred eighty thousand, nine hundred sixty".