Search a number
-
+
45934779683412 = 223220174357145193
BaseRepresentation
bin10100111000111000001100…
…01110011101001001010100
320000122022200202221012100200
422130130012032131021110
522010043412044332122
6241410051345340500
712450451443030264
oct1234340616351124
9200568622835320
1045934779683412
11136aa915683334
12519a574937730
131c828287bcc49
14b4b3803a37a4
15549d07ecb5ac
hex29c70639d254

45934779683412 has 72 divisors (see below), whose sum is σ = 116197945694376. Its totient is φ = 15300384067584.

The previous prime is 45934779683399. The next prime is 45934779683467. The reversal of 45934779683412 is 21438697743954.

45934779683412 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 47 + 7 + 96 + 83 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25512641408016 + 20422138275396 = 5051004^2 + 4519086^2 .

It is a super-2 number, since 2×459347796834122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316297888 + ... + 316443080.

Almost surely, 245934779683412 is an apocalyptic number.

It is an amenable number.

45934779683412 is an abundant number, since it is smaller than the sum of its proper divisors (70263166010964).

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

45934779683412 is a wasteful number, since it uses less digits than its factorization.

45934779683412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151577 (or 151572 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 45934779683412 in words is "forty-five trillion, nine hundred thirty-four billion, seven hundred seventy-nine million, six hundred eighty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2017 4034 4357 6051 8068 8714 12102 13071 17428 18153 24204 26142 36306 39213 52284 72612 78426 145193 156852 290386 435579 580772 871158 1306737 1742316 2613474 5226948 8788069 17576138 26364207 35152276 52728414 79092621 105456828 158185242 292854281 316370484 585708562 632605901 878562843 1171417124 1265211802 1757125686 1897817703 2530423604 2635688529 3514251372 3795635406 5271377058 5693453109 7591270812 10542754116 11386906218 22773812436 1275966102317 2551932204634 3827898306951 5103864409268 7655796613902 11483694920853 15311593227804 22967389841706 45934779683412