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11675041599376 = 24372230872
BaseRepresentation
bin1010100111100100111010…
…1101010000111110010000
31112100010022201111221212001
42221321032231100332100
53012240441122140001
640455235015443344
72313331262124421
oct251711655207620
945303281457761
1011675041599376
1137a13a2684831
12138684b986554
13668c4ab612ac
142c5109c41648
15153a6455a001
hexa9e4eb50f90

11675041599376 has 45 divisors (see below), whose sum is σ = 23249285400369. Its totient is φ = 5679503952192.

The previous prime is 11675041599359. The next prime is 11675041599479. The reversal of 11675041599376 is 67399514057611.

The square root of 11675041599376 is 3416876.

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

11675041599376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10446987552400 + 1228054046976 = 3232180^2 + 1108176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 505686105 + ... + 505709191.

Almost surely, 211675041599376 is an apocalyptic number.

11675041599376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11675041599376 is the 3416876-th square number.

It is an amenable number.

11675041599376 is a deficient number, since it is larger than the sum of its proper divisors (11574243800993).

11675041599376 is an frugal number, since it uses more digits than its factorization.

11675041599376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46256 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 64.

Multiplying 11675041599376 by its sum of digits (64), we get a square (747202662360064 = 273350082).

The spelling of 11675041599376 in words is "eleven trillion, six hundred seventy-five billion, forty-one million, five hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 23087 46174 92348 184696 369392 854219 1708438 3416876 6833752 13667504 31606103 63212206 126424412 252848824 505697648 533009569 1066019138 2132038276 4264076552 8528153104 19721354053 39442708106 78885416212 157770832424 315541664848 729690099961 1459380199922 2918760399844 5837520799688 11675041599376