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1661057424 = 24321323173223
BaseRepresentation
bin110001100000001…
…1011100110010000
311021202120110102100
41203000123212100
511400212314144
6432454120400
756106520005
oct14300334620
94252513370
101661057424
11782695034
123a4350100
13206193120
1411a8698ac
159ac60269
hex6301b990

1661057424 has 240 divisors, whose sum is σ = 5277662208. Its totient is φ = 483867648.

The previous prime is 1661057417. The next prime is 1661057429. The reversal of 1661057424 is 4247501661.

1661057424 is a `hidden beast` number, since 1 + 6 + 61 + 0 + 574 + 24 = 666.

It is a super-2 number, since 2×16610574242 = 5518223531651031552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1661057429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7448577 + ... + 7448799.

Almost surely, 21661057424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661057424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638831104).

1661057424 is an abundant number, since it is smaller than the sum of its proper divisors (3616604784).

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

1661057424 is a wasteful number, since it uses less digits than its factorization.

1661057424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1661057424 is about 40756.0722346990. The cubic root of 1661057424 is about 1184.2995080191.

The spelling of 1661057424 in words is "one billion, six hundred sixty-one million, fifty-seven thousand, four hundred twenty-four".