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11564513232 = 2432334612243
BaseRepresentation
bin10101100010100110…
…00111011111010000
31002211221200010210220
422301103013133100
5142141003410412
65151311353040
7556402512006
oct126123073720
932757603726
1011564513232
1149a4958a58
1222a8b22780
131123b79a4c
147b9c5aa76
1547a3ec68c
hex2b14c77d0

11564513232 has 80 divisors (see below), whose sum is σ = 30081699648. Its totient is φ = 3828259840.

The previous prime is 11564513161. The next prime is 11564513291. The reversal of 11564513232 is 23231546511.

11564513232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11564513193 and 11564513202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5154703 + ... + 5156945.

Almost surely, 211564513232 is an apocalyptic number.

11564513232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11564513232 is an abundant number, since it is smaller than the sum of its proper divisors (18517186416).

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

11564513232 is a wasteful number, since it uses less digits than its factorization.

11564513232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2942 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The spelling of 11564513232 in words is "eleven billion, five hundred sixty-four million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 233 461 466 699 922 932 1383 1398 1844 1864 2243 2766 2796 3688 3728 4486 5532 5592 6729 7376 8972 11064 11184 13458 17944 22128 26916 35888 53832 107413 107664 214826 322239 429652 522619 644478 859304 1034023 1045238 1288956 1567857 1718608 2068046 2090476 2577912 3102069 3135714 4136092 4180952 5155824 6204138 6271428 8272184 8361904 12408276 12542856 16544368 24816552 25085712 49633104 240927359 481854718 722782077 963709436 1445564154 1927418872 2891128308 3854837744 5782256616 11564513232