Search a number
-
+
20008042810695 = 32516730710917949
BaseRepresentation
bin1001000110010011111000…
…10010001100110101000111
32121211202020220102121210100
410203021330102030311013
510110302432424420240
6110315322403255143
74133350644544362
oct443117422146507
977752226377710
1020008042810695
1164143aa615825
1222b183907a4b3
13b2199a665b14
144d25744ab0d9
1524a6c5edae30
hex12327c48cd47

20008042810695 has 96 divisors (see below), whose sum is σ = 35038408204800. Its totient is φ = 10561488065280.

The previous prime is 20008042810681. The next prime is 20008042810727. The reversal of 20008042810695 is 59601824080002.

20008042810695 is a `hidden beast` number, since 200 + 0 + 8 + 0 + 428 + 10 + 6 + 9 + 5 = 666.

It is not a de Polignac number, because 20008042810695 - 227 = 20007908592967 is a prime.

It is a super-2 number, since 2×200080428106952 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20008042810695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2517047581 + ... + 2517055529.

It is an arithmetic number, because the mean of its divisors is an integer number (364983418800).

Almost surely, 220008042810695 is an apocalyptic number.

20008042810695 is a deficient number, since it is larger than the sum of its proper divisors (15030365394105).

20008042810695 is a wasteful number, since it uses less digits than its factorization.

20008042810695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 20008042810695 its reverse (59601824080002), we get a palindrome (79609866890697).

The spelling of 20008042810695 in words is "twenty trillion, eight billion, forty-two million, eight hundred ten thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 45 167 307 501 835 921 1091 1503 1535 2505 2763 3273 4605 5455 7515 7949 9819 13815 16365 23847 39745 49095 51269 71541 119235 153807 182197 256345 334937 357705 461421 546591 769035 910985 1004811 1327483 1639773 1674685 2307105 2440343 2732955 3014433 3982449 5024055 6637415 7321029 8198865 8672359 11947347 12201715 15072165 19912245 21963087 26017077 36605145 43361795 55934479 59736735 78051231 109815435 130085385 167803437 279672395 390256155 407537281 503410311 839017185 1222611843 1448283953 2037686405 2517051555 2662414213 3667835529 4344851859 6113059215 7241419765 7987242639 13034555577 13312071065 18339177645 21724259295 23961727917 39936213195 65172777885 119808639585 444623173571 1333869520713 2223115867855 4001608562139 6669347603565 20008042810695