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2748065225472 = 28337178340253
BaseRepresentation
bin100111111111010101011…
…100111001101100000000
3100201201020101112200122000
4213333111130321230000
5330011014144203342
65502235502544000
7402353422002210
oct47772534715400
910651211480560
102748065225472
1196a4a21a5816
12384715598000
1316c1ab983218
1497015568240
154b73bb4d44c
hex27fd5739b00

2748065225472 has 576 divisors, whose sum is σ = 9952489128960. Its totient is φ = 730054066176.

The previous prime is 2748065225467. The next prime is 2748065225497. The reversal of 2748065225472 is 2745225608472.

2748065225472 is a `hidden beast` number, since 2 + 7 + 48 + 0 + 6 + 52 + 2 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68249698 + ... + 68289950.

It is an arithmetic number, because the mean of its divisors is an integer number (17278626960).

Almost surely, 22748065225472 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 2748065225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244564480).

2748065225472 is an abundant number, since it is smaller than the sum of its proper divisors (7204423903488).

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

2748065225472 is a wasteful number, since it uses less digits than its factorization.

2748065225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40385 (or 40365 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 2748065225472 in words is "two trillion, seven hundred forty-eight billion, sixty-five million, two hundred twenty-five thousand, four hundred seventy-two".