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550638357696 = 263672240859
BaseRepresentation
bin10000000001101001001…
…10101000110011000000
31221122021221012211000000
420000310212220303000
533010201404421241
61100543151000000
754532221546300
oct10006446506300
91848257184000
10550638357696
111a2584aa8099
128a873809000
133cc0422653b
141c918643600
15e4cb570eb6
hex80349a8cc0

550638357696 has 294 divisors, whose sum is σ = 1905738995220. Its totient is φ = 157324591872.

The previous prime is 550638357653. The next prime is 550638357697. The reversal of 550638357696 is 696753836055.

550638357696 is a `hidden beast` number, since 5 + 50 + 6 + 3 + 8 + 3 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (294).

It is a super-2 number, since 2×5506383576962 (a number of 24 digits) contains 22 as substring.

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 (550638357697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2165715 + ... + 2406573.

Almost surely, 2550638357696 is an apocalyptic number.

550638357696 is a gapful number since it is divisible by the number (56) 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 550638357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952869497610).

550638357696 is an abundant number, since it is smaller than the sum of its proper divisors (1355100637524).

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

550638357696 is an equidigital number, since it uses as much as digits as its factorization.

550638357696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240903 (or 240871 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 550638357696 in words is "five hundred fifty billion, six hundred thirty-eight million, three hundred fifty-seven thousand, six hundred ninety-six".