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161675411040 = 2532511131931243
BaseRepresentation
bin1001011010010010011…
…0101111111001100000
3120110022102210211212200
42112210212233321200
510122102401123130
6202134521053200
714452316214333
oct2264446577140
9513272724780
10161675411040
1162625611290
1227400927200
13123273b70c0
147b7a23861a
154313ad5760
hex25a49afe60

161675411040 has 1728 divisors, whose sum is σ = 721400359680. Its totient is φ = 32397926400.

The previous prime is 161675411039. The next prime is 161675411041. The reversal of 161675411040 is 40114576161.

161675411040 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 7 + 541 + 104 + 0 = 666.

161675411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161675411039) and next prime (161675411041).

It is a super-2 number, since 2×1616754110402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 161675410986 and 161675411004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161675411041) 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 287 ways as a sum of consecutive naturals, for example, 3759893259 + ... + 3759893301.

It is an arithmetic number, because the mean of its divisors is an integer number (417477060).

Almost surely, 2161675411040 is an apocalyptic number.

161675411040 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 161675411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360700179840).

161675411040 is an abundant number, since it is smaller than the sum of its proper divisors (559724948640).

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

161675411040 is a wasteful number, since it uses less digits than its factorization.

161675411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 161675411040 in words is "one hundred sixty-one billion, six hundred seventy-five million, four hundred eleven thousand, forty".