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630704400561 = 34882412
BaseRepresentation
bin10010010110110001110…
…10010110100010110001
32020021221212121012210000
421023120322112202301
540313140311304221
61201424104100213
763365304643554
oct11133072264261
92207855535700
10630704400561
11223531212154
12a2299764669
1347623c42971
142275209069b
1511615737e26
hex92d8e968b1

630704400561 has 15 divisors (see below), whose sum is σ = 942174041083. Its totient is φ = 420464835360.

The previous prime is 630704400551. The next prime is 630704400577. The reversal of 630704400561 is 165004407036.

It is a happy number.

The square root of 630704400561 is 794169.

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

It can be written as a sum of positive squares in only one way, i.e., 612962160561 + 17742240000 = 782919^2 + 133200^2 .

It is not a de Polignac number, because 630704400561 - 221 = 630702303409 is a prime.

It is a super-2 number, since 2×6307044005612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (630704400551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7103401 + ... + 7191641.

Almost surely, 2630704400561 is an apocalyptic number.

630704400561 is the 794169-th square number.

630704400561 is the 397085-th centered octagonal number.

It is an amenable number.

630704400561 is a deficient number, since it is larger than the sum of its proper divisors (311469640522).

630704400561 is an frugal number, since it uses more digits than its factorization.

630704400561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176494 (or 88244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 630704400561 by its sum of digits (36), we get a square (22705358420196 = 47650142).

Adding to 630704400561 its reverse (165004407036), we get a palindrome (795708807597).

The spelling of 630704400561 in words is "six hundred thirty billion, seven hundred four million, four hundred thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 88241 264723 794169 2382507 7147521 7786474081 23359422243 70078266729 210234800187 630704400561