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55743694848 = 2113216011889
BaseRepresentation
bin110011111010100101…
…010100100000000000
312022212212121002201200
4303322211110200000
51403130341213343
641335220501200
74012244405532
oct637245244000
9168785532650
1055743694848
1121705953aa6
12a97854a800
1353449c922a
1429ab4a1852
1516b3c504d3
hexcfa954800

55743694848 has 144 divisors (see below), whose sum is σ = 161183868300. Its totient is φ = 18559795200.

The previous prime is 55743694829. The next prime is 55743694849. The reversal of 55743694848 is 84849634755.

55743694848 is a `hidden beast` number, since 5 + 57 + 43 + 69 + 484 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48879903744 + 6863791104 = 221088^2 + 82848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55743694849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29508688 + ... + 29510576.

Almost surely, 255743694848 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 55743694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80591934150).

55743694848 is an abundant number, since it is smaller than the sum of its proper divisors (105440173452).

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

55743694848 is a wasteful number, since it uses less digits than its factorization.

55743694848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3495 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 55743694848 in words is "fifty-five billion, seven hundred forty-three million, six hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1601 1889 2048 2304 3072 3202 3778 4608 4803 5667 6144 6404 7556 9216 9606 11334 12808 14409 15112 17001 18432 19212 22668 25616 28818 30224 34002 38424 45336 51232 57636 60448 68004 76848 90672 102464 115272 120896 136008 153696 181344 204928 230544 241792 272016 307392 362688 409856 461088 483584 544032 614784 725376 819712 922176 967168 1088064 1229568 1450752 1639424 1844352 1934336 2176128 2459136 2901504 3024289 3278848 3688704 3868672 4352256 4918272 5803008 6048578 7377408 8704512 9072867 9836544 11606016 12097156 14754816 17409024 18145734 24194312 27218601 29509632 34818048 36291468 48388624 54437202 72582936 96777248 108874404 145165872 193554496 217748808 290331744 387108992 435497616 580663488 774217984 870995232 1161326976 1548435968 1741990464 2322653952 3096871936 3483980928 4645307904 6193743872 6967961856 9290615808 13935923712 18581231616 27871847424 55743694848