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55739619936 = 2536721121331
BaseRepresentation
bin110011111010010101…
…110001101001100000
312022212120221002000000
4303322111301221200
51403123320314221
641334553300000
74012164644400
oct637225615140
9168776832000
1055739619936
1121703620500
12a977104600
135343c00540
1429aab20800
1516b36e7e26
hexcfa571a60

55739619936 has 1512 divisors, whose sum is σ = 233864995392. Its totient is φ = 12933043200.

The previous prime is 55739619883. The next prime is 55739619937. The reversal of 55739619936 is 63991693755.

55739619936 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 9 + 619 + 9 + 3 + 6 = 666.

55739619936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1512).

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

Its product of digits (41334300) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55739619937) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1798052241 + ... + 1798052271.

It is an arithmetic number, because the mean of its divisors is an integer number (154672616).

Almost surely, 255739619936 is an apocalyptic number.

55739619936 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 55739619936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116932497696).

55739619936 is an abundant number, since it is smaller than the sum of its proper divisors (178125375456).

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

55739619936 is a wasteful number, since it uses less digits than its factorization.

55739619936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its digits is 41334300, while the sum is 63.

The spelling of 55739619936 in words is "fifty-five billion, seven hundred thirty-nine million, six hundred nineteen thousand, nine hundred thirty-six".