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1820176638437 = 3724132428453
BaseRepresentation
bin11010011111001010111…
…110110110000111100101
320110000012020110121002202
4122133022332312013211
5214310210204412222
63512102210144245
7245334450102563
oct32371276660745
96400166417082
101820176638437
11641a29295793
12254919582085
131028463b7911
1464150314a33
1532531066892
hex1a7cafb61e5

1820176638437 has 12 divisors (see below), whose sum is σ = 1916327060676. Its totient is φ = 1727787922560.

The previous prime is 1820176638421. The next prime is 1820176638463. The reversal of 1820176638437 is 7348366710281.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 205055914561 + 1615120723876 = 452831^2 + 1270874^2 .

It is not a de Polignac number, because 1820176638437 - 24 = 1820176638421 is a prime.

It is a super-2 number, since 2×18201766384372 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820176638337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16158098 + ... + 16270355.

It is an arithmetic number, because the mean of its divisors is an integer number (159693921723).

Almost surely, 21820176638437 is an apocalyptic number.

It is an amenable number.

1820176638437 is a deficient number, since it is larger than the sum of its proper divisors (96150422239).

1820176638437 is an equidigital number, since it uses as much as digits as its factorization.

1820176638437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32428568 (or 32428531 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 1820176638437 in words is "one trillion, eight hundred twenty billion, one hundred seventy-six million, six hundred thirty-eight thousand, four hundred thirty-seven".

Divisors: 1 37 41 1369 1517 56129 32428453 1199852761 1329566573 44394552157 49193963201 1820176638437