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161648303040 = 26325726411787
BaseRepresentation
bin1001011010001011111…
…1010101101111000000
3120110020112210121200200
42112202333111233000
510122023431144130
6202132112045200
714451536622300
oct2264277255700
9513215717620
10161648303040
1162611286684
12273b3833800
13123218b5573
147b767bd600
15431152d760
hex25a2fd5bc0

161648303040 has 504 divisors, whose sum is σ = 648150293232. Its totient is φ = 36869898240.

The previous prime is 161648303039. The next prime is 161648303057. The reversal of 161648303040 is 40303846161.

It is a happy number.

161648303040 is a `hidden beast` number, since 1 + 6 + 1 + 648 + 3 + 0 + 3 + 0 + 4 + 0 = 666.

161648303040 is digitally balanced in base 7, 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 (504).

It is a super-2 number, since 2×1616483030402 (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 = 161648302986 and 161648303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90457027 + ... + 90458813.

Almost surely, 2161648303040 is an apocalyptic number.

161648303040 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 161648303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324075146616).

161648303040 is an abundant number, since it is smaller than the sum of its proper divisors (486501990192).

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

161648303040 is a wasteful number, since it uses less digits than its factorization.

161648303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 161648303040 in words is "one hundred sixty-one billion, six hundred forty-eight million, three hundred three thousand, forty".