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11111689744 = 24194732
BaseRepresentation
bin10100101100100111…
…01110111000010000
31001200101121022202121
422112103232320100
5140224043032434
65034334024024
7542233542631
oct122623567020
931611538677
1011111689744
114792293a71
1221a1348014
131081101b5c
14775a65888
154507a27b4
hex2964eee10

11111689744 has 75 divisors (see below), whose sum is σ = 23040504573. Its totient is φ = 5191330176.

The previous prime is 11111689739. The next prime is 11111689747. The reversal of 11111689744 is 44798611111.

The square root of 11111689744 is 105412.

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

It can be written as a sum of positive squares in only one way, i.e., 6307536400 + 4804153344 = 79420^2 + 69312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11111689744.

It is not an unprimeable number, because it can be changed into a prime (11111689747) 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, 152214892 + ... + 152214964.

Almost surely, 211111689744 is an apocalyptic number.

11111689744 is the 105412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111689744

11111689744 is an abundant number, since it is smaller than the sum of its proper divisors (11928814829).

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

11111689744 is an frugal number, since it uses more digits than its factorization.

11111689744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 94 counting only the distinct ones).

The product of its digits is 48384, while the sum is 43.

The spelling of 11111689744 in words is "eleven billion, one hundred eleven million, six hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 361 584 722 1168 1387 1444 2774 2888 5329 5548 5776 6859 10658 11096 13718 21316 22192 26353 27436 42632 52706 54872 85264 101251 105412 109744 130321 202502 210824 260642 405004 421648 500707 521284 810008 1001414 1042568 1620016 1923769 2002828 2085136 3847538 4005656 7695076 8011312 9513433 15390152 19026866 30780304 36551611 38053732 73103222 76107464 146206444 152214928 292412888 584825776 694480609 1388961218 2777922436 5555844872 11111689744