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55378734048 = 25331124397127
BaseRepresentation
bin110011100100110101…
…000110101111100000
312021221102212011122000
4303210311012233200
51401403423442143
641235102244000
74000223321061
oct634465065740
9167842764560
1055378734048
1121538940600
12a896286600
1352b72054b1
142974c1c568
151691badbd3
hexce4d46be0

55378734048 has 576 divisors, whose sum is σ = 184986869760. Its totient is φ = 16094453760.

The previous prime is 55378734041. The next prime is 55378734053. The reversal of 55378734048 is 84043787355.

It is a happy number.

55378734048 is a `hidden beast` number, since 553 + 7 + 8 + 7 + 3 + 40 + 48 = 666.

55378734048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553787340482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55378733985 and 55378734003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55378734041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436052961 + ... + 436053087.

It is an arithmetic number, because the mean of its divisors is an integer number (321157760).

Almost surely, 255378734048 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 55378734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92493434880).

55378734048 is an abundant number, since it is smaller than the sum of its proper divisors (129608135712).

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

55378734048 is a wasteful number, since it uses less digits than its factorization.

55378734048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 55378734048 in words is "fifty-five billion, three hundred seventy-eight million, seven hundred thirty-four thousand, forty-eight".