Search a number
-
+
63781849952082 = 2352114793129769
BaseRepresentation
bin11101000000010010111101…
…00000100110111101010010
322100211111002210021120100000
432200021132200212331102
531330000212041431312
6343352551035510430
716302041462223123
oct1640113640467522
9270744083246300
1063781849952082
1119360804565979
1271a14245b8416
1329787ab00c822
1411a70b526a04a
157591a3e91adc
hex3a025e826f52

63781849952082 has 96 divisors (see below), whose sum is σ = 144022661939520. Its totient is φ = 21155277669120.

The previous prime is 63781849952003. The next prime is 63781849952083. The reversal of 63781849952082 is 28025994818736.

63781849952082 is a `hidden beast` number, since 6 + 3 + 7 + 8 + 1 + 8 + 4 + 99 + 520 + 8 + 2 = 666.

It is a super-2 number, since 2×637818499520822 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63781849952082.

It is not an unprimeable number, because it can be changed into a prime (63781849952083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491438094 + ... + 491567862.

It is an arithmetic number, because the mean of its divisors is an integer number (1500236061870).

It is a 1-persistent number, because it is pandigital, but 2⋅63781849952082 = 127563699904164 is not.

Almost surely, 263781849952082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63781849952082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72011330969760).

63781849952082 is an abundant number, since it is smaller than the sum of its proper divisors (80240811987438).

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

63781849952082 is a wasteful number, since it uses less digits than its factorization.

63781849952082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134790 (or 134778 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 63781849952082 in words is "sixty-three trillion, seven hundred eighty-one billion, eight hundred forty-nine million, nine hundred fifty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 243 422 486 633 1266 1899 3798 4793 5697 9586 11394 14379 17091 28758 34182 43137 51273 86274 102546 129411 129769 258822 259538 388233 389307 776466 778614 1011323 1164699 1167921 2022646 2329398 2335842 3033969 3503763 6067938 7007526 9101907 10511289 18203814 21022578 27305721 27381259 31533867 54611442 54762518 63067734 81917163 82143777 163834326 164287554 245751489 246431331 491502978 492862662 621982817 739293993 1243965634 1478587986 1865948451 2217881979 3731896902 4435763958 5597845353 6653645937 11195690706 13307291874 16793536059 33587072118 50380608177 100761216354 131238374387 151141824531 262476748774 302283649062 393715123161 787430246322 1181145369483 2362290738966 3543436108449 7086872216898 10630308325347 21260616650694 31890924976041 63781849952082