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53114577156 = 22327125412
BaseRepresentation
bin110001011101111000…
…000010000100000100
312002002122110002021100
4301131320002010010
51332234312432111
640222301420100
73560141312424
oct613570020404
9162078402240
1053114577156
1120586880a63
12a363b6a630
1350160ccaa4
1427dc240484
1515ad01c756
hexc5de02104

53114577156 has 81 divisors (see below), whose sum is σ = 136431677109. Its totient is φ = 17423229600.

The previous prime is 53114577151. The next prime is 53114577157. The reversal of 53114577156 is 65177541135.

The square root of 53114577156 is 230466.

It is a perfect power (a square), and thus also a powerful number.

53114577156 is a `hidden beast` number, since 53 + 1 + 14 + 577 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21102210756 + 32012366400 = 145266^2 + 178920^2 .

It is not an unprimeable number, because it can be changed into a prime (53114577151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98178246 + ... + 98178786.

Almost surely, 253114577156 is an apocalyptic number.

53114577156 is the 230466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53114577156

53114577156 is an abundant number, since it is smaller than the sum of its proper divisors (83317099953).

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

53114577156 is an equidigital number, since it uses as much as digits as its factorization.

53114577156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The spelling of 53114577156 in words is "fifty-three billion, one hundred fourteen million, five hundred seventy-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 541 639 852 1082 1278 1623 2164 2556 3246 4869 5041 6492 9738 10082 15123 19476 20164 30246 38411 45369 60492 76822 90738 115233 153644 181476 230466 292681 345699 460932 585362 691398 878043 1170724 1382796 1756086 2634129 2727181 3512172 5268258 5454362 8181543 10536516 10908724 16363086 20780351 24544629 32726172 41560702 49089258 62341053 83121404 98178516 124682106 187023159 249364212 374046318 748092636 1475404921 2950809842 4426214763 5901619684 8852429526 13278644289 17704859052 26557288578 53114577156