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7472647201 is a prime number
BaseRepresentation
bin1101111010110011…
…11000110000100001
3201021210002210212011
412331121320300201
5110300444202301
63233300432521
7353115311305
oct67531706041
921253083764
107472647201
113195129498
1215466a8741
13921201c46
1450c631d05
152db07ca51
hex1bd678c21

7472647201 has 2 divisors, whose sum is σ = 7472647202. Its totient is φ = 7472647200.

The previous prime is 7472647111. The next prime is 7472647213. The reversal of 7472647201 is 1027462747.

7472647201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6424182801 + 1048464400 = 80151^2 + 32380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7472647201 is a prime.

It is a super-2 number, since 2×74726472012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7472647001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3736323600 + 3736323601.

It is an arithmetic number, because the mean of its divisors is an integer number (3736323601).

Almost surely, 27472647201 is an apocalyptic number.

It is an amenable number.

7472647201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7472647201 is an equidigital number, since it uses as much as digits as its factorization.

7472647201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131712, while the sum is 40.

The square root of 7472647201 is about 86444.4746701604. The cubic root of 7472647201 is about 1955.0513088009.

The spelling of 7472647201 in words is "seven billion, four hundred seventy-two million, six hundred forty-seven thousand, two hundred one".