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55735655056 = 24590212
BaseRepresentation
bin110011111010000110…
…101001101010010000
312022212022110122012121
4303322012221222100
51403121311430211
641334332304024
74012116152104
oct637206515220
9168768418177
1055735655056
1121701362644
12a975912014
135343142963
1429aa3ab904
1516b31b3271
hexcfa1a9a90

55735655056 has 15 divisors (see below), whose sum is σ = 107989661353. Its totient is φ = 27867355360.

The previous prime is 55735655023. The next prime is 55735655057. The reversal of 55735655056 is 65055653755.

It is a happy number.

The square root of 55735655056 is 236084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16973920656 + 38761734400 = 130284^2 + 196880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55735654994 and 55735655012.

It is not an unprimeable number, because it can be changed into a prime (55735655057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 914826 + ... + 973846.

Almost surely, 255735655056 is an apocalyptic number.

55735655056 is the 236084-th square number.

It is an amenable number.

55735655056 is a deficient number, since it is larger than the sum of its proper divisors (52254006297).

55735655056 is an frugal number, since it uses more digits than its factorization.

55735655056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118050 (or 59023 counting only the distinct ones).

The product of its (nonzero) digits is 11812500, while the sum is 52.

The spelling of 55735655056 in words is "fifty-five billion, seven hundred thirty-five million, six hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 59021 118042 236084 472168 944336 3483478441 6966956882 13933913764 27867827528 55735655056