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2130149376 = 2153231233
BaseRepresentation
bin111111011110111…
…1000000000000000
312111110020210121100
41332331320000000
513330304240001
6551212254400
7103533654015
oct17675700000
95443223540
102130149376
119a3460833
124b5471400
1327c415b24
14162c9770c
15c7020586
hex7ef78000

2130149376 has 192 divisors, whose sum is σ = 6379439040. Its totient is φ = 684195840.

The previous prime is 2130149353. The next prime is 2130149389. The reversal of 2130149376 is 6739410312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2130149376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142156 + ... + 9142388.

It is an arithmetic number, because the mean of its divisors is an integer number (33226245).

Almost surely, 22130149376 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 2130149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189719520).

2130149376 is an abundant number, since it is smaller than the sum of its proper divisors (4249289664).

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

2130149376 is an equidigital number, since it uses as much as digits as its factorization.

2130149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2130149376 is about 46153.5413159164. The cubic root of 2130149376 is about 1286.6784278891.

Adding to 2130149376 its reverse (6739410312), we get a palindrome (8869559688).

The spelling of 2130149376 in words is "two billion, one hundred thirty million, one hundred forty-nine thousand, three hundred seventy-six".