Search a number
-
+
11430756656 = 241180592
BaseRepresentation
bin10101010010101001…
…11000000100110000
31002111121222121021122
422221110320010300
5141402233203111
65130132441412
7553156554104
oct125124700460
932447877248
1011430756656
114936400730
122270179268
131102247447
147a619d904
1546d7cacdb
hex2a9538130

11430756656 has 30 divisors (see below), whose sum is σ = 24163461252. Its totient is φ = 5195153760.

The previous prime is 11430756647. The next prime is 11430756671. The reversal of 11430756656 is 65665703411.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1414355 + ... + 1422413.

Almost surely, 211430756656 is an apocalyptic number.

11430756656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11430756656 is an abundant number, since it is smaller than the sum of its proper divisors (12732704596).

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

11430756656 is an frugal number, since it uses more digits than its factorization.

11430756656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

Multiplying 11430756656 by its sum of digits (44), we get a square (502953292864 = 7091922).

11430756656 divided by its sum of digits (44) gives a square (259789924 = 161182).

The spelling of 11430756656 in words is "eleven billion, four hundred thirty million, seven hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 8059 16118 32236 64472 88649 128944 177298 354596 709192 1418384 64947481 129894962 259789924 519579848 714422291 1039159696 1428844582 2857689164 5715378328 11430756656