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1669881633121 = 13210729292
BaseRepresentation
bin11000010011001100101…
…100111001100101100001
312220122020220220021000101
4120103030230321211201
5204324404144224441
63315044422422401
7231434136453532
oct30231454714541
95818226807011
101669881633121
11594213714799
1222b773b91a01
13c1613998c00
145ab736d0689
152d686613231
hex184ccb39961

1669881633121 has 27 divisors (see below), whose sum is σ = 1827239051001. Its totient is φ = 1525379591424.

The previous prime is 1669881633083. The next prime is 1669881633151. The reversal of 1669881633121 is 1213361889661.

The square root of 1669881633121 is 1292239.

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 1237133430225 + 432748202896 = 1112265^2 + 657836^2 .

It is not a de Polignac number, because 1669881633121 - 233 = 1661291698529 is a prime.

It is a super-3 number, since 3×16698816331213 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1669881633151) 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 26 ways as a sum of consecutive naturals, for example, 1797503985 + ... + 1797504913.

Almost surely, 21669881633121 is an apocalyptic number.

1669881633121 is the 1292239-th square number.

1669881633121 is the 646120-th centered octagonal number.

It is an amenable number.

1669881633121 is a deficient number, since it is larger than the sum of its proper divisors (157357417880).

1669881633121 is an frugal number, since it uses more digits than its factorization.

1669881633121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1049 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 55.

The spelling of 1669881633121 in words is "one trillion, six hundred sixty-nine billion, eight hundred eighty-one million, six hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 13 107 169 929 1391 11449 12077 18083 99403 148837 157001 863041 1292239 1934881 10636121 11219533 16799107 92345387 138269573 145853929 1200490031 1797504449 9880956409 15606370403 128452433317 1669881633121