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11163948656 = 2472331139801
BaseRepresentation
bin10100110010110110…
…00101011001110000
31001211000221100111212
422121123011121300
5140330432324111
65043442055252
7543436666160
oct123133053160
931730840455
1011163948656
114809837953
1221b694a528
13108bb9b4a3
1477c98a5a0
1545517698b
hex2996c5670

11163948656 has 80 divisors (see below), whose sum is σ = 26627248128. Its totient is φ = 4428864000.

The previous prime is 11163948643. The next prime is 11163948661. The reversal of 11163948656 is 65684936111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9956 + ... + 149756.

Almost surely, 211163948656 is an apocalyptic number.

11163948656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11163948656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313624064).

11163948656 is an abundant number, since it is smaller than the sum of its proper divisors (15463299472).

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

11163948656 is a wasteful number, since it uses less digits than its factorization.

11163948656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139870 (or 139864 counting only the distinct ones).

The product of its digits is 933120, while the sum is 50.

The spelling of 11163948656 in words is "eleven billion, one hundred sixty-three million, nine hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 1288 1426 1736 2576 2852 3472 4991 5704 9982 11408 19964 39928 79856 139801 279602 559204 978607 1118408 1957214 2236816 3215423 3914428 4333831 6430846 7828856 8667662 12861692 15657712 17335324 22507961 25723384 30336817 34670648 45015922 51446768 60673634 69341296 90031844 99678113 121347268 180063688 199356226 242694536 360127376 398712452 485389072 697746791 797424904 1395493582 1594849808 2790987164 5581974328 11163948656