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12622747201 = 28323972
BaseRepresentation
bin10111100000101111…
…11101011001000001
31012120200220222220121
423300113331121001
5201322410402301
65444313140241
7624542403151
oct136027753101
935520828817
1012622747201
115398236889
1225433ba681
1312621960ac
1487a606761
154dd2833a1
hex2f05fd641

12622747201 has 9 divisors (see below), whose sum is σ = 12699496611. Its totient is φ = 12546460872.

The previous prime is 12622747199. The next prime is 12622747253. The reversal of 12622747201 is 10274722621.

The square root of 12622747201 is 112351.

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., 8459400625 + 4163346576 = 91975^2 + 64524^2 .

It is not a de Polignac number, because 12622747201 - 21 = 12622747199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12622747301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31795135 + ... + 31795531.

It is an arithmetic number, because the mean of its divisors is an integer number (1411055179).

Almost surely, 212622747201 is an apocalyptic number.

12622747201 is the 112351-st square number.

12622747201 is the 56176-th centered octagonal number.

It is an amenable number.

12622747201 is a deficient number, since it is larger than the sum of its proper divisors (76749410).

12622747201 is an frugal number, since it uses more digits than its factorization.

12622747201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 12622747201 in words is "twelve billion, six hundred twenty-two million, seven hundred forty-seven thousand, two hundred one".

Divisors: 1 283 397 80089 112351 157609 31795333 44603347 12622747201