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11354363020 = 22571113243627
BaseRepresentation
bin10101001001100010…
…11101010010001100
31002022022020101220201
422210301131102030
5141223204104040
65114403223244
7551241331120
oct124461352214
932268211821
1011354363020
1148a7272aa0
12224a677b24
1310bc47a700
14799d95580
15466c3aa9a
hex2a4c5d48c

11354363020 has 144 divisors (see below), whose sum is σ = 32191181568. Its totient is φ = 3266714880.

The previous prime is 11354362997. The next prime is 11354363023. The reversal of 11354363020 is 2036345311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11354363020.

It is not an unprimeable number, because it can be changed into a prime (11354363023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238447 + ... + 282073.

It is an arithmetic number, because the mean of its divisors is an integer number (223549872).

Almost surely, 211354363020 is an apocalyptic number.

11354363020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11354363020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095590784).

11354363020 is an abundant number, since it is smaller than the sum of its proper divisors (20836818548).

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

11354363020 is a wasteful number, since it uses less digits than its factorization.

11354363020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43680 (or 43665 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 11354363020 in words is "eleven billion, three hundred fifty-four million, three hundred sixty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 43627 52052 65065 87254 130130 174508 218135 260260 305389 436270 479897 567151 610778 872540 959794 1134302 1221556 1526945 1919588 2268604 2399485 2835755 3053890 3359279 3970057 4798970 5671510 6107780 6238661 6718558 7372963 7940114 9597940 11343020 12477322 13437116 14745926 15880228 16796395 19850285 24954644 29491852 31193305 33592790 36864815 39700570 43670627 51610741 62386610 67185580 73729630 79401140 81102593 87341254 103221482 124773220 147459260 162205186 174682508 206442964 218353135 258053705 324410372 405512965 436706270 516107410 567718151 811025930 873412540 1032214820 1135436302 1622051860 2270872604 2838590755 5677181510 11354363020