Search a number
-
+
990624000000 = 21135617607
BaseRepresentation
bin11100110101001011100…
…10101010100000000000
310111200222021211021102210
432122211302222200000
5112212244221000000
62035030354142120
7131366405032035
oct16324562524000
93450867737383
10990624000000
11352137471368
1213bba5b81940
137255295ac4b
1435d3711738c
151ab7d567350
hexe6a5caa800

990624000000 has 672 divisors, whose sum is σ = 3501180184320. Its totient is φ = 248217600000.

The previous prime is 990623999971. The next prime is 990624000011. The reversal of 990624000000 is 426099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1631999697 + ... + 1632000303.

It is an arithmetic number, because the mean of its divisors is an integer number (5210089560).

Almost surely, 2990624000000 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 990624000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750590092160).

990624000000 is an abundant number, since it is smaller than the sum of its proper divisors (2510556184320).

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

990624000000 is an frugal number, since it uses more digits than its factorization.

990624000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 990624000000 its reverse (426099), we get a palindrome (990624426099).

The spelling of 990624000000 in words is "nine hundred ninety billion, six hundred twenty-four million", and thus it is an aban number.