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161648033120 = 25573734911177
BaseRepresentation
bin1001011010001011111…
…0010011110101100000
3120110020112021220102122
42112202332103311200
510122023344024440
6202132102203412
714451534416330
oct2264276236540
9513215256378
10161648033120
1162611111902
12273b3723568
131232181c752
147b7674d0c0
1543114c87b5
hex25a2f93d60

161648033120 has 192 divisors, whose sum is σ = 449570217600. Its totient is φ = 53764964352.

The previous prime is 161648033101. The next prime is 161648033143. The reversal of 161648033120 is 21330846161.

161648033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616480331202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14456972 + ... + 14468148.

It is an arithmetic number, because the mean of its divisors is an integer number (2341511550).

Almost surely, 2161648033120 is an apocalyptic number.

161648033120 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 161648033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224785108800).

161648033120 is an abundant number, since it is smaller than the sum of its proper divisors (287922184480).

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

161648033120 is a wasteful number, since it uses less digits than its factorization.

161648033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 161648033120 its reverse (21330846161), we get a palindrome (182978879281).

The spelling of 161648033120 in words is "one hundred sixty-one billion, six hundred forty-eight million, thirty-three thousand, one hundred twenty".