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55930830480 = 24345721973127
BaseRepresentation
bin110100000101101111…
…001011111010010000
312100100220201120120000
4310011233023322100
51404021243033410
641405543450000
74020006133500
oct640557137220
9170326646500
1055930830480
11217a154a848
12aa0b156900
1353746cac85
1429c8295a00
1516c53b7dc0
hexd05bcbe90

55930830480 has 1200 divisors, whose sum is σ = 243021588480. Its totient is φ = 11851370496.

The previous prime is 55930830463. The next prime is 55930830481. The reversal of 55930830480 is 8403803955.

It is a happy number.

55930830480 is a `hidden beast` number, since 5 + 5 + 93 + 0 + 83 + 0 + 480 = 666.

55930830480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55930830481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 440400177 + ... + 440400303.

Almost surely, 255930830480 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 55930830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121510794240).

55930830480 is an abundant number, since it is smaller than the sum of its proper divisors (187090758000).

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

55930830480 is a wasteful number, since it uses less digits than its factorization.

55930830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55930830480 in words is "fifty-five billion, nine hundred thirty million, eight hundred thirty thousand, four hundred eighty".