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1661479848 = 233272470941
BaseRepresentation
bin110001100001000…
…0010101110101000
311021210100220212200
41203002002232220
511400314323343
6432511140200
756113226400
oct14302025650
94253326780
101661479848
11782953446
123a4514660
132062b0492
1411a939800
159ace54d3
hex63082ba8

1661479848 has 72 divisors (see below), whose sum is σ = 5234520330. Its totient is φ = 474707520.

The previous prime is 1661479829. The next prime is 1661479849. The reversal of 1661479848 is 8489741661.

1661479848 is a `hidden beast` number, since 16 + 614 + 7 + 9 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1622317284 + 39162564 = 40278^2 + 6258^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1661479794 and 1661479803.

It is not an unprimeable number, because it can be changed into a prime (1661479849) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231943 + ... + 238998.

Almost surely, 21661479848 is an apocalyptic number.

1661479848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1661479848 is an abundant number, since it is smaller than the sum of its proper divisors (3573040482).

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

1661479848 is a wasteful number, since it uses less digits than its factorization.

1661479848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470967 (or 470953 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1661479848 is about 40761.2542495934. The cubic root of 1661479848 is about 1184.3998926949.

The spelling of 1661479848 in words is "one billion, six hundred sixty-one million, four hundred seventy-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 470941 941882 1412823 1883764 2825646 3296587 3767528 4238469 5651292 6593174 8476938 9889761 11302584 13186348 16953876 19779522 23076109 26372696 29669283 33907752 39559044 46152218 59338566 69228327 79118088 92304436 118677132 138456654 184608872 207684981 237354264 276913308 415369962 553826616 830739924 1661479848