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1829836801 = 131371027421
BaseRepresentation
bin110110100010001…
…0001100000000001
311201112011100012101
41231010101200001
512221414234201
6501323430401
763226233112
oct15504214001
94645140171
101829836801
11859993521
12430985401
13232138990
14135042209
15aa99dd01
hex6d111801

1829836801 has 8 divisors (see below), whose sum is σ = 1984979304. Its totient is φ = 1676749440.

The previous prime is 1829836777. The next prime is 1829836807. The reversal of 1829836801 is 1086389281.

It can be written as a sum of positive squares in 4 ways, for example, as 277555600 + 1552281201 = 16660^2 + 39399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1829836801 - 223 = 1821448193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1829836807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511930 + ... + 515491.

It is an arithmetic number, because the mean of its divisors is an integer number (248122413).

Almost surely, 21829836801 is an apocalyptic number.

It is an amenable number.

1829836801 is a deficient number, since it is larger than the sum of its proper divisors (155142503).

1829836801 is a wasteful number, since it uses less digits than its factorization.

1829836801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027571.

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1829836801 is about 42776.5917412783. The cubic root of 1829836801 is about 1223.1248391960.

The spelling of 1829836801 in words is "one billion, eight hundred twenty-nine million, eight hundred thirty-six thousand, eight hundred one".

Divisors: 1 13 137 1781 1027421 13356473 140756677 1829836801