Search a number
-
+
630741436512 = 2531131113170509
BaseRepresentation
bin10010010110110110001…
…11101000100001100000
32020022001110021211112220
421023123013220201200
540313224301432022
61201431505551040
763366234515235
oct11133307504140
92208043254486
10630741436512
11223550108880
12a22aa045480
134762b80c325
1422756d7178c
1511618b0185c
hex92db1e8860

630741436512 has 192 divisors, whose sum is σ = 1880989931520. Its totient is φ = 183330201600.

The previous prime is 630741436483. The next prime is 630741436517. The reversal of 630741436512 is 215634147036.

It is a super-2 number, since 2×6307414365122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630741436517) 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 31 ways as a sum of consecutive naturals, for example, 3613914 + ... + 3784422.

It is an arithmetic number, because the mean of its divisors is an integer number (9796822560).

Almost surely, 2630741436512 is an apocalyptic number.

630741436512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630741436512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940494965760).

630741436512 is an abundant number, since it is smaller than the sum of its proper divisors (1250248495008).

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

630741436512 is a wasteful number, since it uses less digits than its factorization.

630741436512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170677 (or 170669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 630741436512 in words is "six hundred thirty billion, seven hundred forty-one million, four hundred thirty-six thousand, five hundred twelve".