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2755353411072 = 2933172432373
BaseRepresentation
bin101000000110000111110…
…111000111111000000000
3100202102001022112212202000
4220012013313013320000
5330120430433123242
65505443014024000
7403032140363553
oct50060767077000
910672038485660
102755353411072
119725a21944a9
1238600a348000
1316caa08ab592
14975074a069a
154ba168e0a4c
hex28187dc7e00

2755353411072 has 720 divisors, whose sum is σ = 8893981396080. Its totient is φ = 842058104832.

The previous prime is 2755353411071. The next prime is 2755353411079. The reversal of 2755353411072 is 2701143535572.

2755353411072 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 3 + 534 + 1 + 107 + 2 = 666.

It is a super-2 number, since 2×27553534110722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755353411071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7387006278 + ... + 7387006650.

It is an arithmetic number, because the mean of its divisors is an integer number (12352751939).

Almost surely, 22755353411072 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 2755353411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446990698040).

2755353411072 is an abundant number, since it is smaller than the sum of its proper divisors (6138627985008).

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

2755353411072 is an equidigital number, since it uses as much as digits as its factorization.

2755353411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 2755353411072 in words is "two trillion, seven hundred fifty-five billion, three hundred fifty-three million, four hundred eleven thousand, seventy-two".