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55382324256 = 2532771386921
BaseRepresentation
bin110011100101000010…
…110011010000100000
312021221200121120110200
4303211002303100200
51401410333334011
641235311225200
74000265663130
oct634502632040
9167850546420
1055382324256
112153a972a16
12a897518200
1352b7b9168c
1429754b4ac0
15169216c856
hexce50b3420

55382324256 has 144 divisors (see below), whose sum is σ = 182528131968. Its totient is φ = 15600614400.

The previous prime is 55382324233. The next prime is 55382324267. The reversal of 55382324256 is 65242328355.

55382324256 is a `hidden beast` number, since 5 + 538 + 23 + 2 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50325 + ... + 336596.

It is an arithmetic number, because the mean of its divisors is an integer number (1267556472).

Almost surely, 255382324256 is an apocalyptic number.

55382324256 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 55382324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91264065984).

55382324256 is an abundant number, since it is smaller than the sum of its proper divisors (127145807712).

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

55382324256 is a wasteful number, since it uses less digits than its factorization.

55382324256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387015 (or 387004 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 55382324256 in words is "fifty-five billion, three hundred eighty-two million, three hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7952 8946 10224 11928 15904 17892 20448 23856 35784 47712 71568 143136 386921 773842 1160763 1547684 2321526 2708447 3095368 3482289 4643052 5416894 6190736 6964578 8125341 9286104 10833788 12381472 13929156 16250682 18572208 21667576 24376023 27471391 27858312 32501364 37144416 43335152 48752046 54942782 55716624 65002728 82414173 86670304 97504092 109885564 111433248 130005456 164828346 192299737 195008184 219771128 247242519 260010912 329656692 384599474 390016368 439542256 494485038 576899211 659313384 769198948 780032736 879084512 988970076 1153798422 1318626768 1538397896 1730697633 1977940152 2307596844 2637253536 3076795792 3461395266 3955880304 4615193688 6153591584 6922790532 7911760608 9230387376 13845581064 18460774752 27691162128 55382324256