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161525482440 = 2335779109137163
BaseRepresentation
bin1001011001101110101…
…0110100001111001000
3120102220222200200111120
42112123222310033020
510121301010414230
6202112003355240
714445515642610
oct2263352641710
9512828620446
10161525482440
1162558a18753
122737a682b20
131230231185a
147b6436ba40
15430586c310
hex259bab43c8

161525482440 has 512 divisors, whose sum is σ = 573585408000. Its totient is φ = 35634733056.

The previous prime is 161525482399. The next prime is 161525482441. The reversal of 161525482440 is 44284525161.

It is a happy number.

161525482440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 161525482392 and 161525482401.

It is not an unprimeable number, because it can be changed into a prime (161525482441) 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 127 ways as a sum of consecutive naturals, for example, 990953799 + ... + 990953961.

It is an arithmetic number, because the mean of its divisors is an integer number (1120284000).

Almost surely, 2161525482440 is an apocalyptic number.

161525482440 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 161525482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286792704000).

161525482440 is an abundant number, since it is smaller than the sum of its proper divisors (412059925560).

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

161525482440 is a wasteful number, since it uses less digits than its factorization.

161525482440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 161525482440 in words is "one hundred sixty-one billion, five hundred twenty-five million, four hundred eighty-two thousand, four hundred forty".