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11828535672050 = 2524114938724949
BaseRepresentation
bin1010110000100000101110…
…1010101011110011110010
31112212210111222200202100122
42230020023222223303302
53022244320113001200
641053542042250242
72330404066200446
oct254101352536362
945783458622318
1011828535672050
1138504aa021449
1213b05487b6982
1367a570283176
142cc70b68a826
15157a49c75385
hexac20baabcf2

11828535672050 has 48 divisors (see below), whose sum is σ = 22688948205000. Its totient is φ = 4585033843200.

The previous prime is 11828535672013. The next prime is 11828535672053. The reversal of 11828535672050 is 5027653582811.

11828535672050 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 12 ways, for example, as 1977418126849 + 9851117545201 = 1406207^2 + 3138649^2 .

It is a super-2 number, since 2×118285356720502 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11828535671983 and 11828535672001.

It is not an unprimeable number, because it can be changed into a prime (11828535672053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19057025 + ... + 19667924.

Almost surely, 211828535672050 is an apocalyptic number.

11828535672050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11828535672050 is a deficient number, since it is larger than the sum of its proper divisors (10860412532950).

11828535672050 is a wasteful number, since it uses less digits than its factorization.

11828535672050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38725151 (or 38725146 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 53.

The spelling of 11828535672050 in words is "eleven trillion, eight hundred twenty-eight billion, five hundred thirty-five million, six hundred seventy-two thousand, fifty".

Divisors: 1 2 5 10 25 41 50 82 149 205 298 410 745 1025 1490 2050 3725 6109 7450 12218 30545 61090 152725 305450 38724949 77449898 193624745 387249490 968123725 1587722909 1936247450 3175445818 5770017401 7938614545 11540034802 15877229090 28850087005 39693072725 57700174010 79386145450 144250435025 236570713441 288500870050 473141426882 1182853567205 2365707134410 5914267836025 11828535672050