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161144064 = 283269941
BaseRepresentation
bin10011001101011…
…01110100000000
3102020012222002200
421212231310000
5312223102224
623553513200
73664462524
oct1146556400
9366188080
10161144064
1182a63a14
1245b72800
1327501423
1417589d84
15e2315c9
hex99add00

161144064 has 54 divisors (see below), whose sum is σ = 464624706. Its totient is φ = 53713920.

The previous prime is 161144051. The next prime is 161144099. The reversal of 161144064 is 460441161.

161144064 is a `hidden beast` number, since 1 + 611 + 4 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 54641664 = 10320^2 + 7392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32667 + ... + 37274.

Almost surely, 2161144064 is an apocalyptic number.

It is an amenable number.

161144064 is an abundant number, since it is smaller than the sum of its proper divisors (303480642).

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

161144064 is an equidigital number, since it uses as much as digits as its factorization.

161144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69963 (or 69946 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 161144064 is about 12694.2531879587. The cubic root of 161144064 is about 544.1743962197.

The spelling of 161144064 in words is "one hundred sixty-one million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 69941 139882 209823 279764 419646 559528 629469 839292 1119056 1258938 1678584 2238112 2517876 3357168 4476224 5035752 6714336 8952448 10071504 13428672 17904896 20143008 26857344 40286016 53714688 80572032 161144064