Search a number
1882672131025 = 527219721992
BaseRepresentation
bin11011011001011000000…
…000001110101111010001
320122222111122202120010101
4123121120000032233101
5221321203031143100
64000515421332401
7253006241034100
oct33313000165721
96588448676111
101882672131025
11666489378314
12264a5b107101
131086c5b5672a
146719c3a4037
1533e8c90486a
hex1b65800ebd1

1882672131025 has 81 divisors (see below), whose sum is σ = 2743298611569. Its totient is φ = 1277967620160.

The previous prime is 1882672131023. The next prime is 1882672131103. The reversal of 1882672131025 is 5201312762881.

It is a happy number.

The square root of 1882672131025 is 1372105.

It is a perfect power (a square), and thus also a powerful number.

1882672131025 is a nontrivial binomial coefficient, being equal to C(1940450, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 434134714321 + 1448537416704 = 658889^2 + 1203552^2 .

It is not a de Polignac number, because 1882672131025 - 21 = 1882672131023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1882672131023) 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 80 ways as a sum of consecutive naturals, for example, 9460663876 + ... + 9460664074.

Almost surely, 21882672131025 is an apocalyptic number.

1882672131025 is the 1940449-th triangular number, the 1372105-th square number and also the 970225-th hexagonal number.

1882672131025 is the 686053-rd centered octagonal number and also the 646817-th centered nonagonal number.

It is an amenable number.

1882672131025 is a deficient number, since it is larger than the sum of its proper divisors (860626480544).

1882672131025 is an frugal number, since it uses more digits than its factorization.

1882672131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 1882672131025 in words is "one trillion, eight hundred eighty-two billion, six hundred seventy-two million, one hundred thirty-one thousand, twenty-five".