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1630530031104 = 2935132353827
BaseRepresentation
bin10111101110100011001…
…010011100111000000000
312202212200102220202100000
4113232203022130320000
5203203311141443404
63245015525200000
7225542024405052
oct27564312347000
95685612822300
101630530031104
1157955a770757
12224011260000
13ba9b20593c0
1458cbd2a78d2
152c631a09339
hex17ba329ce00

1630530031104 has 960 divisors, whose sum is σ = 5594230946304. Its totient is φ = 470264610816.

The previous prime is 1630530031093. The next prime is 1630530031111. The reversal of 1630530031104 is 4011300350361.

1630530031104 is a `hidden beast` number, since 16 + 3 + 0 + 530 + 0 + 3 + 110 + 4 = 666.

It is a super-2 number, since 2×16305300311042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 1971619939 + ... + 1971620765.

Almost surely, 21630530031104 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 1630530031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797115473152).

1630530031104 is an abundant number, since it is smaller than the sum of its proper divisors (3963700915200).

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

1630530031104 is an equidigital number, since it uses as much as digits as its factorization.

1630530031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1630530031104 its reverse (4011300350361), we get a palindrome (5641830381465).

The spelling of 1630530031104 in words is "one trillion, six hundred thirty billion, five hundred thirty million, thirty-one thousand, one hundred four".