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11264427487504 = 242321914
BaseRepresentation
bin1010001111101011010000…
…1100101111000100010000
31110212212110022121211121201
42203322310030233010100
52434024021414100004
635542450114200544
72241554004556012
oct243726414570420
943785408554551
1011264427487504
113653242721054
12131b155b83154
136393005388a9
142ad2b613c1b2
15148030de96a4
hexa3eb432f110

11264427487504 has 75 divisors (see below), whose sum is σ = 22935069495415. Its totient is φ = 5359128943520.

The previous prime is 11264427487501. The next prime is 11264427487553. The reversal of 11264427487504 is 40578472446211.

The square root of 11264427487504 is 3356252.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11264427487501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58976060049 + ... + 58976060239.

Almost surely, 211264427487504 is an apocalyptic number.

11264427487504 is the 3356252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264427487504

11264427487504 is an abundant number, since it is smaller than the sum of its proper divisors (11670642007911).

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

11264427487504 is an frugal number, since it uses more digits than its factorization.

11264427487504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 55.

The spelling of 11264427487504 in words is "eleven trillion, two hundred sixty-four billion, four hundred twenty-seven million, four hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 529 764 1058 1528 2116 3056 4232 4393 8464 8786 17572 35144 36481 70288 72962 101039 145924 202078 291848 404156 583696 808312 839063 1616624 1678126 3356252 6712504 6967871 13425008 13935742 19298449 27871484 38596898 55742968 77193796 111485936 154387592 160261033 308775184 320522066 641044132 1282088264 1330863361 2564176528 2661726722 3686003759 5323453444 7372007518 10646906888 14744015036 21293813776 29488030072 30609857303 58976060144 61219714606 122439429212 244878858424 489757716848 704026717969 1408053435938 2816106871876 5632213743752 11264427487504