Search a number
-
+
1810329215436 = 2232797373198553
BaseRepresentation
bin11010010110000000000…
…001111010000111001100
320102001202221210200021100
4122112000001322013030
5214130023234343221
63503353113503100
7244535434302540
oct32260001720714
96361687720240
101810329215436
11638835713075
12252a2b711a90
131019371bc2c1
146389854ba20
1532156796926
hex1a58007a1cc

1810329215436 has 144 divisors (see below), whose sum is σ = 5297948079424. Its totient is φ = 510529609728.

The previous prime is 1810329215369. The next prime is 1810329215449. The reversal of 1810329215436 is 6345129230181.

1810329215436 is a `hidden beast` number, since 1 + 8 + 10 + 3 + 2 + 92 + 1 + 543 + 6 = 666.

It is a super-2 number, since 2×18103292154362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1810329215391 and 1810329215400.

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, 9018336 + ... + 9216888.

Almost surely, 21810329215436 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 1810329215436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648974039712).

1810329215436 is an abundant number, since it is smaller than the sum of its proper divisors (3487618863988).

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

1810329215436 is a wasteful number, since it uses less digits than its factorization.

1810329215436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199040 (or 199035 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1810329215436 in words is "one trillion, eight hundred ten billion, three hundred twenty-nine million, two hundred fifteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 373 388 582 679 746 873 1119 1164 1358 1492 1746 2037 2238 2611 2716 3357 3492 4074 4476 5222 6111 6714 7833 8148 10444 12222 13428 15666 23499 24444 31332 36181 46998 72362 93996 108543 144724 198553 217086 253267 325629 397106 434172 506534 595659 651258 759801 794212 1013068 1191318 1302516 1389871 1519602 1786977 2279403 2382636 2779742 3039204 3573954 4169613 4558806 5559484 7147908 8339226 9117612 12508839 16678452 19259641 25017678 38519282 50035356 57778923 74060269 77038564 115557846 134817487 148120538 173336769 222180807 231115692 269634974 296241076 346673538 404452461 444361614 518421883 539269948 666542421 693347076 808904922 888723228 1036843766 1213357383 1333084842 1555265649 1617809844 2073687532 2426714766 2666169684 3110531298 4665796947 4853429532 6221062596 7183846093 9331593894 14367692186 18663187788 21551538279 28735384372 43103076558 50286922651 64654614837 86206153116 100573845302 129309229674 150860767953 201147690604 258618459348 301721535906 452582303859 603443071812 905164607718 1810329215436