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2002631430336 = 26314597148987
BaseRepresentation
bin11101001001000110001…
…000101001000011000000
321002110010211100100202220
4131021012020221003000
5230302342121232321
64131555101411040
7264454034202435
oct35110610510300
97073124310686
102002631430336
117023472633a9
12284159269a80
13116b02790344
146ccdc153b8c
153715e01a9c6
hex1d2462290c0

2002631430336 has 56 divisors (see below), whose sum is σ = 5302261419840. Its totient is φ = 667086181632.

The previous prime is 2002631430329. The next prime is 2002631430377. The reversal of 2002631430336 is 6330341362002.

It is a happy number.

It is a super-3 number, since 3×20026314303363 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2002631430297 and 2002631430306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3294366 + ... + 3854621.

It is an arithmetic number, because the mean of its divisors is an integer number (94683239640).

Almost surely, 22002631430336 is an apocalyptic number.

It is an amenable number.

2002631430336 is an abundant number, since it is smaller than the sum of its proper divisors (3299629989504).

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

2002631430336 is a wasteful number, since it uses less digits than its factorization.

2002631430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150461 (or 7150451 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 2002631430336 its reverse (6330341362002), we get a palindrome (8332972792338).

The spelling of 2002631430336 in words is "two trillion, two billion, six hundred thirty-one million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1459 2918 4377 5836 8754 11672 17508 23344 35016 46688 70032 93376 140064 280128 7148987 14297974 21446961 28595948 42893922 57191896 85787844 114383792 171575688 228767584 343151376 457535168 686302752 1372605504 10430372033 20860744066 31291116099 41721488132 62582232198 83442976264 125164464396 166885952528 250328928792 333771905056 500657857584 667543810112 1001315715168 2002631430336