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39354227641 = 1925321972
BaseRepresentation
bin100100101001101100…
…011101101110111001
310202120122220220100201
4210221230131232321
51121044140241031
630025025402201
72562143262361
oct445154355671
9122518826321
1039354227641
1115765487783
127763799361
13393234b941
141c9490b9a1
151054e76d61
hex929b1dbb9

39354227641 has 27 divisors (see below), whose sum is σ = 42548952621. Its totient is φ = 36393817824.

The previous prime is 39354227629. The next prime is 39354227659. The reversal of 39354227641 is 14672245393.

The square root of 39354227641 is 198379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23052045241 + 16302182400 = 151829^2 + 127680^2 .

It is not a de Polignac number, because 39354227641 - 25 = 39354227609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39354227591 and 39354227600.

It is not an unprimeable number, because it can be changed into a prime (39354227621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199767555 + ... + 199767751.

Almost surely, 239354227641 is an apocalyptic number.

39354227641 is the 198379-th square number.

39354227641 is the 99190-th centered octagonal number.

It is an amenable number.

39354227641 is a deficient number, since it is larger than the sum of its proper divisors (3194724980).

39354227641 is an frugal number, since it uses more digits than its factorization.

39354227641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 39354227641 in words is "thirty-nine billion, three hundred fifty-four million, two hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 19 53 197 361 1007 2809 3743 10441 19133 38809 53371 71117 198379 553373 737371 1014049 2056877 3769201 10514087 14010049 39080663 109014481 199767653 742532597 2071275139 39354227641