Search a number
-
+
20801637228015 = 3357217184977433
BaseRepresentation
bin1001011101011010000100…
…01100101001110111101111
32201122121122212100001021000
410232231002030221313233
510211303223112244030
6112124050142011343
74244603651025300
oct456550214516757
981577585301230
1020801637228015
11669aa19a10436
1223bb5b6276b53
13b7b7804cc087
1451cb39c087a7
15261171c7c860
hex12eb42329def

20801637228015 has 96 divisors (see below), whose sum is σ = 45548843348160. Its totient is φ = 8949948069888.

The previous prime is 20801637228013. The next prime is 20801637228061. The reversal of 20801637228015 is 51082273610802.

20801637228015 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 1 + 637 + 2 + 2 + 8 + 0 + 1 + 5 = 666.

It is not a de Polignac number, because 20801637228015 - 21 = 20801637228013 is a prime.

It is a super-2 number, since 2×208016372280152 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801637228013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92376262 + ... + 92601171.

It is an arithmetic number, because the mean of its divisors is an integer number (474467118210).

Almost surely, 220801637228015 is an apocalyptic number.

20801637228015 is an abundant number, since it is smaller than the sum of its proper divisors (24747206120145).

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

20801637228015 is a wasteful number, since it uses less digits than its factorization.

20801637228015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184977478 (or 184977465 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20801637228015 in words is "twenty trillion, eight hundred one billion, six hundred thirty-seven million, two hundred twenty-eight thousand, fifteen".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 85 105 119 135 147 153 189 245 255 315 357 441 459 595 735 765 833 945 1071 1323 1785 2205 2295 2499 3213 4165 5355 6615 7497 12495 16065 22491 37485 112455 184977433 554932299 924887165 1294842031 1664796897 2774661495 3144616361 3884526093 4994390691 6474210155 8323984485 9063894217 9433849083 11653578279 15723081805 19422630465 22012314527 24971953455 27191682651 28301547249 34960734837 45319471085 47169245415 58267891395 66036943581 81575047953 84904641747 110061572635 135958413255 141507736245 154086201689 174803674185 198110830743 244725143859 330184717905 407875239765 424523208735 462258605067 594332492229 770431008445 990554153715 1223625719295 1386775815201 2311293025335 2971662461145 4160327445603 6933879076005 20801637228015