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55883980152 = 2332711136771163
BaseRepresentation
bin110100000010111100…
…011101110101111000
312100020122120022222200
4310002330131311320
51403422244331102
641401151350200
74015566664560
oct640274356570
9170218508880
1055883980152
1121778060470
12a9b7522360
135367aa63a0
1429c1d7bda0
1516c121151c
hexd02f1dd78

55883980152 has 768 divisors, whose sum is σ = 210435563520. Its totient is φ = 12933043200.

The previous prime is 55883980127. The next prime is 55883980153. The reversal of 55883980152 is 25108938855.

It is a happy number.

55883980152 is a `hidden beast` number, since 5 + 588 + 3 + 9 + 8 + 0 + 1 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55883980153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 342846423 + ... + 342846585.

It is an arithmetic number, because the mean of its divisors is an integer number (274004640).

Almost surely, 255883980152 is an apocalyptic number.

55883980152 is a gapful number since it is divisible by the number (52) 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 55883980152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105217781760).

55883980152 is an abundant number, since it is smaller than the sum of its proper divisors (154551583368).

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

55883980152 is a wasteful number, since it uses less digits than its factorization.

55883980152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 55883980152 in words is "fifty-five billion, eight hundred eighty-three million, nine hundred eighty thousand, one hundred fifty-two".