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631073418144 = 253132579192141
BaseRepresentation
bin10010010111011101110…
…10000010101110100000
32020022220120222020201220
421023232322002232200
540314414243340034
61201524445255040
763410405355561
oct11135672025640
92208816866656
10631073418144
11223700546564
12a2381264480
1347682527070
14227890ac168
1511637d2b749
hex92eee82ba0

631073418144 has 192 divisors, whose sum is σ = 1793723823360. Its totient is φ = 193120174080.

The previous prime is 631073418133. The next prime is 631073418161. The reversal of 631073418144 is 441814370136.

It is a junction number, because it is equal to n+sod(n) for n = 631073418096 and 631073418105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 294755314 + ... + 294757454.

It is an arithmetic number, because the mean of its divisors is an integer number (9342311580).

Almost surely, 2631073418144 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 631073418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896861911680).

631073418144 is an abundant number, since it is smaller than the sum of its proper divisors (1162650405216).

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

631073418144 is a wasteful number, since it uses less digits than its factorization.

631073418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 631073418144 in words is "six hundred thirty-one billion, seventy-three million, four hundred eighteen thousand, one hundred forty-four".