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63171292921 = 1127323132
BaseRepresentation
bin111010110101010011…
…010110111011111001
320001001111221011210121
4322311103112323321
52013333322333141
645004232013241
74364305062442
oct726523267371
9201044834717
1063171292921
1124877603400
12102abb31221
135c59787389
1430b3b282c9
15199ad801d1
hexeb54d6ef9

63171292921 has 27 divisors (see below), whose sum is σ = 70626065517. Its totient is φ = 56460792960.

The previous prime is 63171292913. The next prime is 63171292931. The reversal of 63171292921 is 12929217136.

The square root of 63171292921 is 251339.

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 22383451321 + 40787841600 = 149611^2 + 201960^2 .

It is not a de Polignac number, because 63171292921 - 23 = 63171292913 is a prime.

It is a super-2 number, since 2×631712929212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63171292931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201825061 + ... + 201825373.

Almost surely, 263171292921 is an apocalyptic number.

63171292921 is the 251339-th square number.

63171292921 is the 125670-th centered octagonal number.

It is an amenable number.

63171292921 is a deficient number, since it is larger than the sum of its proper divisors (7454772596).

63171292921 is an frugal number, since it uses more digits than its factorization.

63171292921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The spelling of 63171292921 in words is "sixty-three billion, one hundred seventy-one million, two hundred ninety-two thousand, nine hundred twenty-one".

Divisors: 1 11 73 121 313 803 3443 5329 8833 22849 37873 58619 97969 251339 644809 1077659 1667977 2764729 7151737 11854249 18347747 78669107 201825217 522076801 865360177 5742844811 63171292921