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1661441544 = 23357831471
BaseRepresentation
bin110001100000111…
…1001011000001000
311021210021222100000
41203001321120020
511400312112134
6432510243000
756113006620
oct14301713010
94253258300
101661441544
11782927694
123a44b6460
13206298c09
1411a929880
159acd8e99
hex63079608

1661441544 has 192 divisors, whose sum is σ = 5400944640. Its totient is φ = 468659520.

The previous prime is 1661441543. The next prime is 1661441549. The reversal of 1661441544 is 4451441661.

1661441544 is a `hidden beast` number, since 1 + 66 + 14 + 41 + 544 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1661441499 and 1661441508.

It is not an unprimeable number, because it can be changed into a prime (1661441543) 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, 1128729 + ... + 1130199.

It is an arithmetic number, because the mean of its divisors is an integer number (28129920).

Almost surely, 21661441544 is an apocalyptic number.

1661441544 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 1661441544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700472320).

1661441544 is an abundant number, since it is smaller than the sum of its proper divisors (3739503096).

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

1661441544 is a wasteful number, since it uses less digits than its factorization.

1661441544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1661441544 is about 40760.7843889197. The cubic root of 1661441544 is about 1184.3907908487.

The spelling of 1661441544 in words is "one billion, six hundred sixty-one million, four hundred forty-one thousand, five hundred forty-four".