Search a number
-
+
20844791161812 = 223241193637911471
BaseRepresentation
bin1001011110101010011100…
…10111110110001111010100
32201210202001100002000120100
410233111032113312033110
510213010113014134222
6112155544224334100
74250662233304332
oct457251627661724
981722040060510
1020844791161812
116707254208632
122407a3a474330
13b82869b11447
14520c7120cb52
1526234a5b34ac
hex12f54e5f63d4

20844791161812 has 144 divisors (see below), whose sum is σ = 54269051316480. Its totient is φ = 6742025625600.

The previous prime is 20844791161793. The next prime is 20844791161829. The reversal of 20844791161812 is 21816119744802.

It is a happy number.

20844791161812 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 4 + 7 + 9 + 1 + 1 + 618 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817167237 + ... + 1817178707.

It is an arithmetic number, because the mean of its divisors is an integer number (376868411920).

Almost surely, 220844791161812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20844791161812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27134525658240).

20844791161812 is an abundant number, since it is smaller than the sum of its proper divisors (33424260154668).

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

20844791161812 is a wasteful number, since it uses less digits than its factorization.

20844791161812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18094 (or 18089 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 20844791161812 in words is "twenty trillion, eight hundred forty-four billion, seven hundred ninety-one million, one hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 193 246 369 386 492 579 738 772 1158 1476 1737 2316 3474 6379 6948 7913 11471 12758 15826 19137 22942 23739 25516 31652 34413 38274 45884 47478 57411 68826 71217 76548 94956 103239 114822 137652 142434 206478 229644 261539 284868 412956 470311 523078 784617 940622 1046156 1231147 1410933 1569234 1881244 2213903 2353851 2462294 2821866 3138468 3693441 4232799 4427806 4707702 4924588 5643732 6641709 7386882 8465598 8855612 9415404 11080323 13283418 14773764 16931196 19925127 22160646 26566836 39850254 44321292 50477027 73173509 79700508 90770023 100954054 146347018 151431081 181540046 201908108 219520527 272310069 292694036 302862162 363080092 439041054 454293243 544620138 605724324 658561581 816930207 878082108 908586486 1089240276 1317123162 1633860414 1817172972 2634246324 3000113869 3267720828 6000227738 9000341607 12000455476 14122487237 18000683214 27001024821 28244974474 36001366428 42367461711 54002049642 56489948948 84734923422 108004099284 127102385133 169469846844 254204770266 508409540532 579021976717 1158043953434 1737065930151 2316087906868 3474131860302 5211197790453 6948263720604 10422395580906 20844791161812