Search a number
-
+
20491072680186 = 23213715768377491
BaseRepresentation
bin1001010100010111100110…
…00110111011000011111010
32200112221001002100101100200
410222023303012323003322
510141211204101231221
6111325245133543030
74213300611645633
oct452136306730372
980487032311320
1020491072680186
116590240365a79
12236b382944a76
13b583b8a4ac44
1450bab798888a
15258046d97426
hex12a2f31bb0fa

20491072680186 has 96 divisors (see below), whose sum is σ = 45072718411968. Its totient is φ = 6727361921280.

The previous prime is 20491072680179. The next prime is 20491072680187. The reversal of 20491072680186 is 68108627019402.

It is a happy number.

20491072680186 is a `hidden beast` number, since 2 + 0 + 491 + 0 + 72 + 6 + 8 + 0 + 1 + 86 = 666.

It is a super-2 number, since 2×204910726801862 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20491072680187) 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, 264392901 + ... + 264470391.

It is an arithmetic number, because the mean of its divisors is an integer number (469507483458).

Almost surely, 220491072680186 is an apocalyptic number.

20491072680186 is an abundant number, since it is smaller than the sum of its proper divisors (24581645731782).

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

20491072680186 is a wasteful number, since it uses less digits than its factorization.

20491072680186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78476 (or 78473 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

Adding to 20491072680186 its reverse (68108627019402), we get a palindrome (88599699699588).

The spelling of 20491072680186 in words is "twenty trillion, four hundred ninety-one billion, seventy-two million, six hundred eighty thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 137 157 274 314 411 471 683 822 942 1233 1366 1413 2049 2466 2826 4098 6147 12294 21509 43018 64527 77491 93571 107231 129054 154982 187142 193581 214462 232473 280713 321693 387162 464946 561426 643386 697419 842139 965079 1394838 1684278 1930158 10616267 12166087 14690647 21232534 24332174 29381294 31848801 36498261 44071941 52926353 63697602 72996522 88143882 95546403 105852706 109494783 132215823 158779059 191092806 218989566 264431646 317558118 476337177 952674354 1666753919 3333507838 5000261757 7250910361 8309437421 10000523514 14501820722 15000785271 16618874842 21752731083 24928312263 30001570542 43505462166 49856624526 65258193249 74784936789 130516386498 149569873578 1138392926677 2276785853354 3415178780031 6830357560062 10245536340093 20491072680186