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1829096413 = 231071395347
BaseRepresentation
bin110110100000101…
…1100101111011101
311201110202201120121
41231001130233131
512221222041123
6501255514541
763220030414
oct15501345735
94643681517
101829096413
11859528231
12430688a51
13231c39991
14134ccc47b
15aa8a475d
hex6d05cbdd

1829096413 has 16 divisors (see below), whose sum is σ = 1940682240. Its totient is φ = 1720428336.

The previous prime is 1829096393. The next prime is 1829096431. The reversal of 1829096413 is 3146909281.

It is a happy number.

It is not a de Polignac number, because 1829096413 - 213 = 1829088221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1829096413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829096473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339406 + ... + 344752.

It is an arithmetic number, because the mean of its divisors is an integer number (121292640).

Almost surely, 21829096413 is an apocalyptic number.

It is an amenable number.

1829096413 is a deficient number, since it is larger than the sum of its proper divisors (111585827).

1829096413 is a wasteful number, since it uses less digits than its factorization.

1829096413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616.

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 1829096413 is about 42767.9367400393. The cubic root of 1829096413 is about 1222.9598501434.

The spelling of 1829096413 in words is "one billion, eight hundred twenty-nine million, ninety-six thousand, four hundred thirteen".

Divisors: 1 23 107 139 2461 3197 5347 14873 122981 342079 572129 743233 13158967 17094359 79525931 1829096413