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55135696896 = 21135731719
BaseRepresentation
bin110011010110010101…
…111111100000000000
312021022111112121100000
4303112111333200000
51400404214300041
641155021200000
73661212456000
oct632625774000
9167274477300
1055135696896
1121423733155
12a828a00000
135278a60127
142950836000
15167a6a2bb6
hexcd657f800

55135696896 has 1152 divisors, whose sum is σ = 214643520000. Its totient is φ = 14046068736.

The previous prime is 55135696871. The next prime is 55135696897. The reversal of 55135696896 is 69869653155.

55135696896 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 569 + 68 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (52488000) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55135696897) 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 95 ways as a sum of consecutive naturals, for example, 2901878775 + ... + 2901878793.

It is an arithmetic number, because the mean of its divisors is an integer number (186322500).

Almost surely, 255135696896 is an apocalyptic number.

55135696896 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 55135696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760000).

55135696896 is an abundant number, since it is smaller than the sum of its proper divisors (159507823104).

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

55135696896 is an equidigital number, since it uses as much as digits as its factorization.

55135696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 55135696896 in words is "fifty-five billion, one hundred thirty-five million, six hundred ninety-six thousand, eight hundred ninety-six".