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2064492362592 = 253511219235021
BaseRepresentation
bin11110000010101101010…
…101010111101101100000
321022100211000121022200000
4132002231111113231200
5232311040021100332
64220225324100000
7302104021353552
oct36025525275540
97270730538600
102064492362592
11726601132400
12294142394600
1311c8b092297a
1471cc9c214d2
1538a7ed10b7c
hex1e0ad557b60

2064492362592 has 864 divisors, whose sum is σ = 7352101935360. Its totient is φ = 566795750400.

The previous prime is 2064492362539. The next prime is 2064492362627. The reversal of 2064492362592 is 2952632944602.

2064492362592 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 4 + 9 + 2 + 3 + 625 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411169042 + ... + 411174062.

It is an arithmetic number, because the mean of its divisors is an integer number (8509377240).

Almost surely, 22064492362592 is an apocalyptic number.

2064492362592 is a gapful number since it is divisible by the number (22) 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 2064492362592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676050967680).

2064492362592 is an abundant number, since it is smaller than the sum of its proper divisors (5287609572768).

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

2064492362592 is a wasteful number, since it uses less digits than its factorization.

2064492362592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2064492362592 in words is "two trillion, sixty-four billion, four hundred ninety-two million, three hundred sixty-two thousand, five hundred ninety-two".