Search a number
-
+
55386798336 = 283249032
BaseRepresentation
bin110011100101010011…
…110111100100000000
312021222000000212202100
4303211103313210000
51401413010021321
641235551150400
74000352006112
oct634523674400
9167860025670
1055386798336
1121542449401
12a898b15400
1352b8a99c6c
142975d1b3b2
151692753326
hexce54f7900

55386798336 has 81 divisors (see below), whose sum is σ = 159726371259. Its totient is φ = 18458500608.

The previous prime is 55386798319. The next prime is 55386798359. The reversal of 55386798336 is 63389768355.

The square root of 55386798336 is 235344.

It is a perfect power (a square), and thus also a powerful number.

55386798336 is a `hidden beast` number, since 5 + 538 + 6 + 7 + 98 + 3 + 3 + 6 = 666.

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 8 ways as a sum of consecutive naturals, for example, 11294061 + ... + 11298963.

Almost surely, 255386798336 is an apocalyptic number.

55386798336 is the 235344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55386798336

55386798336 is an abundant number, since it is smaller than the sum of its proper divisors (104339572923).

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

55386798336 is an frugal number, since it uses more digits than its factorization.

55386798336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828 (or 4908 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 55386798336 in words is "fifty-five billion, three hundred eighty-six million, seven hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4903 9806 14709 19612 29418 39224 44127 58836 78448 88254 117672 156896 176508 235344 313792 353016 470688 627584 706032 941376 1255168 1412064 1882752 2824128 3765504 5648256 11296512 24039409 48078818 72118227 96157636 144236454 192315272 216354681 288472908 384630544 432709362 576945816 769261088 865418724 1153891632 1538522176 1730837448 2307783264 3077044352 3461674896 4615566528 6154088704 6923349792 9231133056 13846699584 18462266112 27693399168 55386798336