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2041041012 = 2231716361381
BaseRepresentation
bin111100110100111…
…1101000001110100
312021020120121220120
41321221331001310
513140001303022
6534310331540
7101402363613
oct17151750164
95236517816
102041041012
1195812935a
1248b659bb0
13266b1699a
141550dd87a
15be2bcd5c
hex79a7d074

2041041012 has 48 divisors (see below), whose sum is σ = 5073590592. Its totient is φ = 636387840.

The previous prime is 2041041011. The next prime is 2041041031. The reversal of 2041041012 is 2101401402.

It is a junction number, because it is equal to n+sod(n) for n = 2041040982 and 2041041000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041041011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562 + ... + 63942.

It is an arithmetic number, because the mean of its divisors is an integer number (105699804).

Almost surely, 22041041012 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 2041041012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536795296).

2041041012 is an abundant number, since it is smaller than the sum of its proper divisors (3032549580).

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

2041041012 is a wasteful number, since it uses less digits than its factorization.

2041041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61568 (or 61566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2041041012 is about 45177.8818892608. The cubic root of 2041041012 is about 1268.4808362919.

Adding to 2041041012 its reverse (2101401402), we get a palindrome (4142442414).

The spelling of 2041041012 in words is "two billion, forty-one million, forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 163 204 326 489 652 978 1956 2771 5542 8313 11084 16626 33252 61381 122762 184143 245524 368286 736572 1043477 2086954 3130431 4173908 6260862 10005103 12521724 20010206 30015309 40020412 60030618 120061236 170086751 340173502 510260253 680347004 1020520506 2041041012