Search a number
-
+
20214636396786 = 236131066510309
BaseRepresentation
bin1001001100010100101100…
…01110001100000011110010
32122120111111202201012000000
410212022112032030003302
510122144033404144121
6110554250433010430
74154313351213426
oct446122616140362
978514452635000
1020214636396786
116493a85284827
1223258949b3a16
13b38302a12110
144dc572154b86
15250c6824a526
hex12629638c0f2

20214636396786 has 56 divisors (see below), whose sum is σ = 48959222290860. Its totient is φ = 6219888116256.

The previous prime is 20214636396781. The next prime is 20214636396803. The reversal of 20214636396786 is 68769363641202.

20214636396786 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 463 + 6 + 3 + 96 + 7 + 86 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20149603746561 + 65032650225 = 4488831^2 + 255015^2 .

It is a super-2 number, since 2×202146363967862 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20214636396781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 533236201 + ... + 533274108.

Almost surely, 220214636396786 is an apocalyptic number.

20214636396786 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20214636396786 is an abundant number, since it is smaller than the sum of its proper divisors (28744585894074).

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

20214636396786 is a wasteful number, since it uses less digits than its factorization.

20214636396786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066510342 (or 1066510327 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 20214636396786 in words is "twenty trillion, two hundred fourteen billion, six hundred thirty-six million, three hundred ninety-six thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 18954 1066510309 2133020618 3199530927 6399061854 9598592781 13864634017 19197185562 27729268034 28795778343 41593902051 57591556686 83187804102 86387335029 124781706153 172774670058 249563412306 259162005087 374345118459 518324010174 748690236918 777486015261 1123035355377 1554972030522 2246070710754 3369106066131 6738212132262 10107318198393 20214636396786