Search a number
-
+
11574110465220 = 22352353158245973
BaseRepresentation
bin1010100001101100111010…
…1111100010110011000100
31111222110210122210002200010
42220123032233202303010
53004112234234341340
640341023431150220
72303126150466162
oct250331657426304
944873718702603
1011574110465220
113762609691876
12136b182215370
1365c584476bc4
142c029327c232
151511086e3b80
hexa86cebe2cc4

11574110465220 has 96 divisors (see below), whose sum is σ = 34454579427072. Its totient is φ = 2896534271488.

The previous prime is 11574110465219. The next prime is 11574110465227. The reversal of 11574110465220 is 2256401147511.

11574110465220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115741104652202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11574110465227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79049847 + ... + 79196126.

It is an arithmetic number, because the mean of its divisors is an integer number (358901869032).

Almost surely, 211574110465220 is an apocalyptic number.

11574110465220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11574110465220 is an abundant number, since it is smaller than the sum of its proper divisors (22880468961852).

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

11574110465220 is a wasteful number, since it uses less digits than its factorization.

11574110465220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158246061 (or 158246059 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 11574110465220 in words is "eleven trillion, five hundred seventy-four billion, one hundred ten million, four hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1590 2438 3180 3657 4876 6095 7314 12190 14628 18285 24380 36570 73140 158245973 316491946 474737919 632983892 791229865 949475838 1582459730 1898951676 2373689595 3164919460 3639657379 4747379190 7279314758 8387036569 9494758380 10918972137 14558629516 16774073138 18198286895 21837944274 25161109707 33548146276 36396573790 41935182845 43675888548 50322219414 54594860685 72793147580 83870365690 100644438828 109189721370 125805548535 167740731380 192901841087 218379442740 251611097070 385803682174 503222194140 578705523261 771607364348 964509205435 1157411046522 1929018410870 2314822093044 2893527616305 3858036821740 5787055232610 11574110465220