Search a number
-
+
1830832331929 = 37253091955113
BaseRepresentation
bin11010101001000110000…
…111000101110010011001
320111000200212000220121021
4122221012013011302121
5214444021034110204
63521023414442441
7246162506023426
oct32510607056231
96430625026537
101830832331929
116464a7137a47
122569b2063421
13103853ba06b3
146488159ad4d
1532956794154
hex1aa461c5c99

1830832331929 has 8 divisors (see below), whose sum is σ = 1880389542920. Its totient is φ = 1781279081856.

The previous prime is 1830832331921. The next prime is 1830832331969. The reversal of 1830832331929 is 9291332380381.

It can be written as a sum of positive squares in 4 ways, for example, as 1016961318025 + 813871013904 = 1008445^2 + 902148^2 .

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

It is not a de Polignac number, because 1830832331929 - 23 = 1830832331921 is a prime.

It is a super-2 number, since 2×18308323319292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1830832331921) 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 7 ways as a sum of consecutive naturals, for example, 41124 + ... + 1913989.

It is an arithmetic number, because the mean of its divisors is an integer number (235048692865).

Almost surely, 21830832331929 is an apocalyptic number.

It is an amenable number.

1830832331929 is a deficient number, since it is larger than the sum of its proper divisors (49557210991).

1830832331929 is a wasteful number, since it uses less digits than its factorization.

1830832331929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980459.

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 1830832331929 in words is "one trillion, eight hundred thirty billion, eight hundred thirty-two million, three hundred thirty-one thousand, nine hundred twenty-nine".

Divisors: 1 37 25309 936433 1955113 72339181 49481954917 1830832331929