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55359704928 = 25311199263437
BaseRepresentation
bin110011100011101100…
…100000111101100000
312021220010001101120210
4303203230200331200
51401334041024203
641233142334120
73666602504433
oct634354407540
9167803041523
1055359704928
1121529123760
12a88ba2a340
1352b32a1c68
1429724a781a
1516901a0803
hexce3b20f60

55359704928 has 96 divisors (see below), whose sum is σ = 159327302400. Its totient is φ = 16691304960.

The previous prime is 55359704903. The next prime is 55359704963. The reversal of 55359704928 is 82940795355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 78426 + ... + 341862.

It is an arithmetic number, because the mean of its divisors is an integer number (1659659400).

Almost surely, 255359704928 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 55359704928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79663651200).

55359704928 is an abundant number, since it is smaller than the sum of its proper divisors (103967597472).

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

55359704928 is a wasteful number, since it uses less digits than its factorization.

55359704928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263660 (or 263652 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 55359704928 in words is "fifty-five billion, three hundred fifty-nine million, seven hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 199 264 352 398 528 597 796 1056 1194 1592 2189 2388 3184 4378 4776 6368 6567 8756 9552 13134 17512 19104 26268 35024 52536 70048 105072 210144 263437 526874 790311 1053748 1580622 2107496 2897807 3161244 4214992 5795614 6322488 8429984 8693421 11591228 12644976 17386842 23182456 25289952 34773684 46364912 52423963 69547368 92729824 104847926 139094736 157271889 209695852 278189472 314543778 419391704 576663593 629087556 838783408 1153327186 1258175112 1677566816 1729990779 2306654372 2516350224 3459981558 4613308744 5032700448 6919963116 9226617488 13839926232 18453234976 27679852464 55359704928