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63425311352436 = 2231111324071176651
BaseRepresentation
bin11100110101111010110110…
…01001110010011001110100
322022120101211000000002110210
432122331123021302121310
531303130014201234221
6342521104044145420
716234220225146125
oct1632753311623164
9268511730002423
1063425311352436
1119233583844970
127144300538270
132950c9a8c7037
141193b3126604c
1574ec87db5276
hex39af5b272674

63425311352436 has 96 divisors (see below), whose sum is σ = 162882663422976. Its totient is φ = 19048805440000.

The previous prime is 63425311352419. The next prime is 63425311352437.

63425311352436 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63425311352437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358954711 + ... + 359131361.

It is an arithmetic number, because the mean of its divisors is an integer number (1696694410656).

Almost surely, 263425311352436 is an apocalyptic number.

63425311352436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63425311352436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81441331711488).

63425311352436 is an abundant number, since it is smaller than the sum of its proper divisors (99457352070540).

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

63425311352436 is a wasteful number, since it uses less digits than its factorization.

63425311352436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200853 (or 200851 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

It can be divided in two parts, 6342531 and 1352436, that added together give a palindrome (7694967).

The spelling of 63425311352436 in words is "sixty-three trillion, four hundred twenty-five billion, three hundred eleven million, three hundred fifty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 14916 24071 48142 72213 96284 144426 176651 264781 288852 353302 529562 529953 706604 794343 1059124 1059906 1588686 1943161 2119812 2720023 3177372 3886322 5440046 5829483 7772644 8160069 10880092 11658966 16320138 19961563 23317932 29920253 32640276 39923126 59840506 59884689 79846252 89760759 119681012 119769378 179521518 219577193 239538756 359043036 439154386 658731579 878308772 1317463158 2634926316 4252166221 8504332442 12756498663 17008664884 25512997326 46773828431 51025994652 93547656862 140321485293 187095313724 280642970586 480494782973 561285941172 960989565946 1441484348919 1921979131892 2882968697838 5285442612703 5765937395676 10570885225406 15856327838109 21141770450812 31712655676218 63425311352436