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53053521300 = 223252134534489
BaseRepresentation
bin110001011010001111…
…000111110110010100
312001221101120010101100
4301122033013312110
51332123200140200
640212241030100
73555500330133
oct613217076624
9161841503340
1053053521300
112055536987a
12a347625330
135006573370
1427d40a991a
1515a79abd00
hexc5a3c7d94

53053521300 has 108 divisors (see below), whose sum is σ = 179085148060. Its totient is φ = 13059325440.

The previous prime is 53053521263. The next prime is 53053521317. The reversal of 53053521300 is 312535035.

53053521300 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 352 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12243865104 + 40809656196 = 110652^2 + 202014^2 .

It is a super-2 number, since 2×530535213002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2255545 + ... + 2278944.

Almost surely, 253053521300 is an apocalyptic number.

53053521300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53053521300 is an abundant number, since it is smaller than the sum of its proper divisors (126031626760).

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

53053521300 is a wasteful number, since it uses less digits than its factorization.

53053521300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534522 (or 4534512 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 53053521300 in words is "fifty-three billion, fifty-three million, five hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 4534489 9068978 13603467 18137956 22672445 27206934 40810401 45344890 54413868 58948357 68017335 81620802 90689780 113362225 117896714 136034670 163241604 176845071 204052005 226724450 235793428 272069340 294741785 340086675 353690142 408104010 453448900 530535213 589483570 680173350 707380284 816208020 884225355 1020260025 1061070426 1178967140 1360346700 1473708925 1768450710 2040520050 2122140852 2652676065 2947417850 3536901420 4081040100 4421126775 5305352130 5894835700 8842253550 10610704260 13263380325 17684507100 26526760650 53053521300