Search a number
-
+
20117832810517 = 1341677312316269
BaseRepresentation
bin1001001001100000011000…
…10001110100000000010101
32122020020122100200111002001
410210300030101310000111
510114102310144414032
6110442001012115301
74144315436260411
oct444601421640025
978206570614061
1020117832810517
116456a1a172672
12230ab79605b31
13b2c1464b6a60
144d79cb827d41
1524d49e9513e7
hex124c0c474015

20117832810517 has 64 divisors (see below), whose sum is σ = 22855788426240. Its totient is φ = 17585380454400.

The previous prime is 20117832810469. The next prime is 20117832810521. The reversal of 20117832810517 is 71501823871102.

It is a de Polignac number, because none of the positive numbers 2k-20117832810517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117832810577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3209094459 + ... + 3209100727.

It is an arithmetic number, because the mean of its divisors is an integer number (357121694160).

Almost surely, 220117832810517 is an apocalyptic number.

It is an amenable number.

20117832810517 is a deficient number, since it is larger than the sum of its proper divisors (2737955615723).

20117832810517 is a wasteful number, since it uses less digits than its factorization.

20117832810517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694.

The product of its (nonzero) digits is 188160, while the sum is 46.

The spelling of 20117832810517 in words is "twenty trillion, one hundred seventeen billion, eight hundred thirty-two million, eight hundred ten thousand, five hundred seventeen".

Divisors: 1 13 41 67 73 533 871 949 1231 2747 2993 4891 6269 16003 35711 38909 50471 63583 81497 82477 89863 200531 257029 420023 457637 656123 1072201 1168219 2606903 3341377 3381557 3684383 5460299 5949281 6020821 7717139 17220943 18763117 30661679 43960241 47896979 78270673 100322807 223872259 243920521 246853661 316402699 398601827 517048313 563351147 1257128839 3209097593 4113235087 6721628069 7323564911 16342674907 21198980833 23097397027 37744526849 275586750829 300266161351 490678849037 1547525600809 20117832810517