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2065436442 = 233313074019
BaseRepresentation
bin111101100011100…
…0000111100011010
312022221111001011000
41323013000330122
513212222431232
6540541245430
7102116630406
oct17307007432
95287431130
102065436442
1196a980a73
12497863876
1326bba8954
14158450106
15c14db27c
hex7b1c0f1a

2065436442 has 64 divisors (see below), whose sum is σ = 4754534400. Its totient is φ = 663934320.

The previous prime is 2065436441. The next prime is 2065436519. The reversal of 2065436442 is 2446345602.

2065436442 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 4 + 3 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2065436397 and 2065436406.

It is not an unprimeable number, because it can be changed into a prime (2065436441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511909 + ... + 515927.

It is an arithmetic number, because the mean of its divisors is an integer number (74289600).

Almost surely, 22065436442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065436442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377267200).

2065436442 is an abundant number, since it is smaller than the sum of its proper divisors (2689097958).

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

2065436442 is a wasteful number, since it uses less digits than its factorization.

2065436442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2065436442 is about 45447.0729750553. The cubic root of 2065436442 is about 1273.5146495059.

The spelling of 2065436442 in words is "two billion, sixty-five million, four hundred thirty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 307 558 614 837 921 1674 1842 2763 4019 5526 8038 8289 9517 12057 16578 19034 24114 28551 36171 57102 72342 85653 108513 124589 171306 217026 249178 256959 373767 513918 747534 1121301 1233833 2242602 2467666 3363903 3701499 6727806 7402998 11104497 22208994 33313491 38248823 66626982 76497646 114746469 229492938 344239407 688478814 1032718221 2065436442