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83053718710128 = 24322950773391711
BaseRepresentation
bin10010111000100101110011…
…011001101010011101110000
3101220001212011110100111222200
4102320211303121222131300
541341223003442211003
6452350203542303200
723331301400641605
oct2270456331523560
9356055143314880
1083053718710128
1124510980007921
12939444a427b00
133745c169a6a1a
141671b7002c6ac
159906402326a3
hex4b897366a770

83053718710128 has 120 divisors (see below), whose sum is σ = 240455411713920. Its totient is φ = 26729337761280.

The previous prime is 83053718710013. The next prime is 83053718710129. The reversal of 83053718710128 is 82101781735038.

83053718710128 is a `hidden beast` number, since 8 + 3 + 0 + 537 + 1 + 87 + 1 + 0 + 1 + 28 = 666.

83053718710128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83053718710129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211832193 + ... + 212223903.

It is an arithmetic number, because the mean of its divisors is an integer number (2003795097616).

Almost surely, 283053718710128 is an apocalyptic number.

It is an amenable number.

83053718710128 is an abundant number, since it is smaller than the sum of its proper divisors (157401693003792).

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

83053718710128 is a wasteful number, since it uses less digits than its factorization.

83053718710128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442527 (or 442518 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 83053718710128 in words is "eighty-three trillion, fifty-three billion, seven hundred eighteen million, seven hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 50773 101546 152319 203092 304638 391711 406184 456957 609276 783422 812368 913914 1175133 1218552 1472417 1566844 1827828 2350266 2437104 2944834 3133688 3525399 3655656 4417251 4700532 5889668 6267376 7050798 7311312 8834502 9401064 11359619 11779336 13251753 14101596 17669004 18802128 22719238 23558672 26503506 28203192 34078857 35338008 45438476 53007012 56406384 68157714 70676016 90876952 102236571 106014024 136315428 181753904 204473142 212028048 272630856 408946284 545261712 817892568 1635785136 19888342603 39776685206 59665027809 79553370412 119330055618 159106740824 178995083427 238660111236 318213481648 357990166854 477320222472 576761935487 715980333708 954640444944 1153523870974 1431960667416 1730285806461 2307047741948 2863921334832 3460571612922 4614095483896 5190857419383 6921143225844 9228190967792 10381714838766 13842286451688 20763429677532 27684572903376 41526859355064 83053718710128