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2055055968 = 253373197113
BaseRepresentation
bin111101001111101…
…1010101001100000
312022012221122211000
41322133122221200
513202043242333
6535530552000
7101632454550
oct17237325140
95265848730
102055055968
11965030a69
12494298600
132699b2b64
14156d0b160
15c063a713
hex7a7daa60

2055055968 has 384 divisors, whose sum is σ = 7207280640. Its totient is φ = 557383680.

The previous prime is 2055055943. The next prime is 2055055969. The reversal of 2055055968 is 8695505502.

2055055968 is a `hidden beast` number, since 2 + 0 + 5 + 50 + 5 + 596 + 8 = 666.

It is a super-2 number, since 2×20550559682 = 8446510063224834048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055055969) 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 63 ways as a sum of consecutive naturals, for example, 18186280 + ... + 18186392.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 22055055968 is an apocalyptic number.

2055055968 is a gapful number since it is divisible by the number (28) 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 2055055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603640320).

2055055968 is an abundant number, since it is smaller than the sum of its proper divisors (5152224672).

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

2055055968 is a wasteful number, since it uses less digits than its factorization.

2055055968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 2055055968 is about 45332.7251331750. The cubic root of 2055055968 is about 1271.3775879809.

The spelling of 2055055968 in words is "two billion, fifty-five million, fifty-five thousand, nine hundred sixty-eight".