Search a number
-
+
2630349509580 = 223251317312132981
BaseRepresentation
bin100110010001101101000…
…011000101001111001100
3100022110101120122201211200
4212101231003011033030
5321043423433301310
65332211010345500
7361015340634222
oct46215503051714
910273346581750
102630349509580
119245857a8101
1236594288b290
1316106baca870
149144975cb12
154864c4b29c0
hex2646d0c53cc

2630349509580 has 288 divisors, whose sum is σ = 9391400299008. Its totient is φ = 589726310400.

The previous prime is 2630349509573. The next prime is 2630349509581. The reversal of 2630349509580 is 859059430362.

2630349509580 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 3 + 4 + 9 + 50 + 9 + 580 = 666.

It is not an unprimeable number, because it can be changed into a prime (2630349509581) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 166690 + ... + 2299670.

It is an arithmetic number, because the mean of its divisors is an integer number (32609028816).

Almost surely, 22630349509580 is an apocalyptic number.

2630349509580 is a gapful number since it is divisible by the number (20) 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 2630349509580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695700149504).

2630349509580 is an abundant number, since it is smaller than the sum of its proper divisors (6761050789428).

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

2630349509580 is a wasteful number, since it uses less digits than its factorization.

2630349509580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133057 (or 2133052 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2630349509580 in words is "two trillion, six hundred thirty billion, three hundred forty-nine million, five hundred nine thousand, five hundred eighty".