Search a number
-
+
55428367680 = 26325712721649
BaseRepresentation
bin110011100111110010…
…011100010101000000
312022001220020211011200
4303213302130111000
51402004130231210
641244034141200
74001365231410
oct634762342500
9168056224150
1055428367680
1121563961034
12a8aaa21800
1352c4592bca
14297b65c640
1516962150c0
hexce7c9c540

55428367680 has 336 divisors, whose sum is σ = 219612057600. Its totient is φ = 12569001984.

The previous prime is 55428367669. The next prime is 55428367693. The reversal of 55428367680 is 8676382455.

55428367680 is a `hidden beast` number, since 5 + 542 + 8 + 36 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2549496 + ... + 2571144.

Almost surely, 255428367680 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 55428367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109806028800).

55428367680 is an abundant number, since it is smaller than the sum of its proper divisors (164183689920).

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

55428367680 is a wasteful number, since it uses less digits than its factorization.

55428367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21806 (or 21793 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 55428367680 in words is "fifty-five billion, four hundred twenty-eight million, three hundred sixty-seven thousand, six hundred eighty".