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1297182045721 = 412277792
BaseRepresentation
bin10010111000000110000…
…100110011011000011001
311121000020211212112200011
4102320012010303120121
5132223112100430341
62431530041041521
7162501244314262
oct22700604633031
94530224775604
101297182045721
1146014a4a1461
1218b49b7862a1
1395429351c83
1446ad920d969
1523b21840b81
hex12e06133619

1297182045721 has 9 divisors (see below), whose sum is σ = 1329640169983. Its totient is φ = 1265497901680.

The previous prime is 1297182045707. The next prime is 1297182045773. The reversal of 1297182045721 is 1275402817921.

The square root of 1297182045721 is 1138939.

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., 62505500121 + 1234676545600 = 250011^2 + 1111160^2 .

It is not a de Polignac number, because 1297182045721 - 29 = 1297182045209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1297182043721) 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 in 8 ways as a sum of consecutive naturals, for example, 46682610 + ... + 46710388.

Almost surely, 21297182045721 is an apocalyptic number.

1297182045721 is the 1138939-th square number.

1297182045721 is the 569470-th centered octagonal number.

It is an amenable number.

1297182045721 is a deficient number, since it is larger than the sum of its proper divisors (32458124262).

1297182045721 is an frugal number, since it uses more digits than its factorization.

1297182045721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55640 (or 27820 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

Multiplying 1297182045721 by its sum of digits (49), we get a square (63561920240329 = 79725732).

The spelling of 1297182045721 in words is "one trillion, two hundred ninety-seven billion, one hundred eighty-two million, forty-five thousand, seven hundred twenty-one".

Divisors: 1 41 1681 27779 1138939 46696499 771672841 31638586481 1297182045721