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161825664 = 27371113421
BaseRepresentation
bin10011010010101…
…00001110000000
3102021111121002010
421221110032000
5312411410124
624020252520
74003331640
oct1151241600
9367447063
10161825664
118338a020
1246241140
13276ac740
14176c6520
15e318529
hex9a54380

161825664 has 256 divisors, whose sum is σ = 578511360. Its totient is φ = 38707200.

The previous prime is 161825659. The next prime is 161825687. The reversal of 161825664 is 466528161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384174 + ... + 384594.

It is an arithmetic number, because the mean of its divisors is an integer number (2259810).

Almost surely, 2161825664 is an apocalyptic number.

161825664 is a gapful number since it is divisible by the number (14) 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 161825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289255680).

161825664 is an abundant number, since it is smaller than the sum of its proper divisors (416685696).

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

161825664 is a wasteful number, since it uses less digits than its factorization.

161825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 161825664 is about 12721.0716529701. The cubic root of 161825664 is about 544.9405585650.

The spelling of 161825664 in words is "one hundred sixty-one million, eight hundred twenty-five thousand, six hundred sixty-four".