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53583245480 = 23529118139113
BaseRepresentation
bin110001111001110011…
…110111000010101000
312010022022022220100102
4301321303313002220
51334214302323410
640341002524532
73604562033402
oct617163670250
9163268286312
1053583245480
11207a7388456
12a474b06748
13508c234a1b
14284459bb72
1515d92472a5
hexc79cf70a8

53583245480 has 64 divisors (see below), whose sum is σ = 124828419600. Its totient is φ = 20676167680.

The previous prime is 53583245479. The next prime is 53583245519. The reversal of 53583245480 is 8454238535.

It can be written as a sum of positive squares in 8 ways, for example, as 25645460164 + 27937785316 = 160142^2 + 167146^2 .

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 15 ways as a sum of consecutive naturals, for example, 1350404 + ... + 1389516.

Almost surely, 253583245480 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 53583245480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62414209800).

53583245480 is an abundant number, since it is smaller than the sum of its proper divisors (71245174120).

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

53583245480 is a wasteful number, since it uses less digits than its factorization.

53583245480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334 (or 40330 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 47.

The spelling of 53583245480 in words is "fifty-three billion, five hundred eighty-three million, two hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1181 2362 4724 5905 9448 11810 23620 34249 39113 47240 68498 78226 136996 156452 171245 195565 273992 312904 342490 391130 684980 782260 1134277 1369960 1564520 2268554 4537108 5671385 9074216 11342770 22685540 45371080 46192453 92384906 184769812 230962265 369539624 461924530 923849060 1339581137 1847698120 2679162274 5358324548 6697905685 10716649096 13395811370 26791622740 53583245480