Search a number
-
+
630232118880 = 2535713195961211
BaseRepresentation
bin10010010101111001100…
…00101111011001100000
32020020201221220211002220
421022330300233121200
540311203410301010
61201305153311040
763350511423210
oct11127460573140
92206657824086
10630232118880
11223309667a11
12a2187565480
134757a144150
1422709472240
15115d9047970
hex92bcc2f660

630232118880 has 1536 divisors, whose sum is σ = 2671029043200. Its totient is φ = 121230950400.

The previous prime is 630232118863. The next prime is 630232118903. The reversal of 630232118880 is 88811232036.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 2986881975 + ... + 2986882185.

It is an arithmetic number, because the mean of its divisors is an integer number (1738951200).

Almost surely, 2630232118880 is an apocalyptic number.

630232118880 is a gapful number since it is divisible by the number (60) 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 630232118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335514521600).

630232118880 is an abundant number, since it is smaller than the sum of its proper divisors (2040796924320).

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

630232118880 is a wasteful number, since it uses less digits than its factorization.

630232118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 630232118880 in words is "six hundred thirty billion, two hundred thirty-two million, one hundred eighteen thousand, eight hundred eighty".