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253585745712 = 24331345154157
BaseRepresentation
bin1110110000101011100…
…0110110011100110000
3220020112211022121112000
43230022320312130300
513123320422330322
6312255022334000
724215043162615
oct3541270663460
9806484277460
10253585745712
11985aa5a7062
124119142a300
131abb3c1ac10
14c3b8b3050c
1568e2a123ac
hex3b0ae36730

253585745712 has 80 divisors (see below), whose sum is σ = 783876182880. Its totient is φ = 78026381568.

The previous prime is 253585745627. The next prime is 253585745713. The reversal of 253585745712 is 217547585352.

253585745712 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 8 + 574 + 57 + 12 = 666.

253585745712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2535857457122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253585745713) by changing a digit.

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, 22571463 + ... + 22582694.

It is an arithmetic number, because the mean of its divisors is an integer number (9798452286).

Almost surely, 2253585745712 is an apocalyptic number.

It is an amenable number.

253585745712 is an abundant number, since it is smaller than the sum of its proper divisors (530290437168).

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

253585745712 is a wasteful number, since it uses less digits than its factorization.

253585745712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45154187 (or 45154175 counting only the distinct ones).

The product of its digits is 11760000, while the sum is 54.

The spelling of 253585745712 in words is "two hundred fifty-three billion, five hundred eighty-five million, seven hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 45154157 90308314 135462471 180616628 270924942 361233256 406387413 541849884 587004041 722466512 812774826 1083699768 1174008082 1219162239 1625549652 1761012123 2167399536 2348016164 2438324478 3251099304 3522024246 4696032328 4876648956 5283036369 6502198608 7044048492 9392064656 9753297912 10566072738 14088096984 15849109107 19506595824 21132145476 28176193968 31698218214 42264290952 63396436428 84528581904 126792872856 253585745712