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1376720028768 = 2537172234391231
BaseRepresentation
bin10100000010001010111…
…010001000010001100000
311212121112222121201120010
4110002022322020101200
5140024010311410033
62532242332044520
7201315256106550
oct24021272102140
94777488551503
101376720028768
11490955624347
121a2998903740
139ca93840476
144a8c287d160
1525c2949a863
hex1408ae88460

1376720028768 has 384 divisors, whose sum is σ = 4406303784960. Its totient is φ = 367412060160.

The previous prime is 1376720028757. The next prime is 1376720028787. The reversal of 1376720028768 is 8678200276731.

It is a happy number.

It is a super-2 number, since 2×13767200287682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118374713 + ... + 1118375943.

It is an arithmetic number, because the mean of its divisors is an integer number (11474749440).

Almost surely, 21376720028768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376720028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203151892480).

1376720028768 is an abundant number, since it is smaller than the sum of its proper divisors (3029583756192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1376720028768 is a wasteful number, since it uses less digits than its factorization.

1376720028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 1376720028768 in words is "one trillion, three hundred seventy-six billion, seven hundred twenty million, twenty-eight thousand, seven hundred sixty-eight".