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53883201834 = 2347117954679
BaseRepresentation
bin110010001011101100…
…000110100100101010
312011002012202021010000
4302023230012210222
51340323044424314
640430440003430
73615163441620
oct621354064452
9164065667100
1053883201834
1120940732070
12a539460576
1351094189a7
14287235d510
151605748209
hexc8bb0692a

53883201834 has 160 divisors (see below), whose sum is σ = 152439091200. Its totient is φ = 13818224160.

The previous prime is 53883201821. The next prime is 53883201839. The reversal of 53883201834 is 43810238835.

53883201834 is a `hidden beast` number, since 538 + 8 + 32 + 0 + 1 + 83 + 4 = 666.

It is a super-3 number, since 3×538832018343 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53883201834.

It is not an unprimeable number, because it can be changed into a prime (53883201839) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958107 + ... + 1012785.

It is an arithmetic number, because the mean of its divisors is an integer number (952744320).

Almost surely, 253883201834 is an apocalyptic number.

53883201834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53883201834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76219545600).

53883201834 is an abundant number, since it is smaller than the sum of its proper divisors (98555889366).

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

53883201834 is a wasteful number, since it uses less digits than its factorization.

53883201834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54790 (or 54781 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 53883201834 in words is "fifty-three billion, eight hundred eighty-three million, two hundred one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 79 81 99 126 154 158 162 189 198 231 237 297 378 462 474 553 567 594 693 711 869 891 1106 1134 1386 1422 1659 1738 1782 2079 2133 2607 3318 4158 4266 4977 5214 6083 6237 6399 7821 9954 12166 12474 12798 14931 15642 18249 23463 29862 36498 44793 46926 54679 54747 70389 89586 109358 109494 140778 164037 164241 328074 328482 382753 492111 492723 601469 765506 984222 985446 1148259 1202938 1476333 1804407 2296518 2952666 3444777 3608814 4210283 4319641 4428999 5413221 6889554 8420566 8639282 8857998 10334331 10826442 12630849 12958923 16239663 20668662 25261698 25917846 30237487 31002993 32479326 37892547 38876769 47516051 48718989 60474974 62005986 75785094 77753538 90712461 95032102 97437978 113677641 116630307 142548153 181424922 227355282 233260614 272137383 285096306 332612357 341032923 349890921 427644459 544274766 665224714 682065846 699781842 816412149 855288918 997837071 1282933377 1632824298 1995674142 2449236447 2565866754 2993511213 3848800131 4898472894 5987022426 7697600262 8980533639 17961067278 26941600917 53883201834