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11682088656 = 2437157221453
BaseRepresentation
bin10101110000100111…
…01000011011010000
31010011010220120222020
422320103220123100
5142411103314111
65211111411440
7562331054340
oct127023503320
933133816866
1011682088656
114a55264127
122320383b80
1311423351c4
147cb704d20
154858c4906
hex2b84e86d0

11682088656 has 80 divisors (see below), whose sum is σ = 34709814144. Its totient is φ = 3316465152.

The previous prime is 11682088601. The next prime is 11682088661. The reversal of 11682088656 is 65688028611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11682088599 and 11682088608.

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, 57975 + ... + 163478.

Almost surely, 211682088656 is an apocalyptic number.

11682088656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11682088656 is an abundant number, since it is smaller than the sum of its proper divisors (23027725488).

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

11682088656 is a wasteful number, since it uses less digits than its factorization.

11682088656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221628 (or 221622 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 11682088656 in words is "eleven billion, six hundred eighty-two million, eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1884 2198 2512 3297 3768 4396 6594 7536 8792 13188 17584 26376 52752 221453 442906 664359 885812 1328718 1550171 1771624 2657436 3100342 3543248 4650513 5314872 6200684 9301026 10629744 12401368 18602052 24802736 34768121 37204104 69536242 74408208 104304363 139072484 208608726 243376847 278144968 417217452 486753694 556289936 730130541 834434904 973507388 1460261082 1668869808 1947014776 2920522164 3894029552 5841044328 11682088656