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10182890039 = 719361321191
BaseRepresentation
bin10010111101111001…
…01001001000110111
3222021122220102002112
421132330221020313
5131323304440124
64402234401235
7510225065030
oct113674511067
928248812075
1010182890039
114355a81003
121b8229021b
13c6386392a
146c856da87
153e8e8790e
hex25ef29237

10182890039 has 16 divisors (see below), whose sum is σ = 12254062080. Its totient is φ = 8266134240.

The previous prime is 10182890021. The next prime is 10182890057. The reversal of 10182890039 is 93009828101.

It is an interprime number because it is at equal distance from previous prime (10182890021) and next prime (10182890057).

It is a de Polignac number, because none of the positive numbers 2k-10182890039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10182889978 and 10182890005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182898039) 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 15 ways as a sum of consecutive naturals, for example, 469934 + ... + 491124.

It is an arithmetic number, because the mean of its divisors is an integer number (765878880).

Almost surely, 210182890039 is an apocalyptic number.

10182890039 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10182890039 is a deficient number, since it is larger than the sum of its proper divisors (2071172041).

10182890039 is a wasteful number, since it uses less digits than its factorization.

10182890039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24830.

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 10182890039 in words is "ten billion, one hundred eighty-two million, eight hundred ninety thousand, thirty-nine".

Divisors: 1 7 19 133 3613 21191 25291 68647 148337 402629 480529 2818403 76563083 535941581 1454698577 10182890039