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54997766208 = 263137211
BaseRepresentation
bin110011001110000111…
…110101000001000000
312020221220000000000000
4303032013311001000
51400113412004313
641133213000000
73654616204500
oct631607650100
9166856000000
1054997766208
1121362894850
12a7aa783000
1352562c8938
14293a3ada00
15166d509673
hexcce1f5040

54997766208 has 588 divisors, whose sum is σ = 207743432112. Its totient is φ = 14285134080.

The previous prime is 54997766203. The next prime is 54997766227. The reversal of 54997766208 is 80266779945.

54997766208 is a `hidden beast` number, since 549 + 9 + 7 + 7 + 66 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (54997766203) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4999796923 + ... + 4999796933.

Almost surely, 254997766208 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 54997766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103871716056).

54997766208 is an abundant number, since it is smaller than the sum of its proper divisors (152745665904).

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

54997766208 is an frugal number, since it uses more digits than its factorization.

54997766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 54997766208 in words is "fifty-four billion, nine hundred ninety-seven million, seven hundred sixty-six thousand, two hundred eight".