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21261828153069 = 32723372069191677
BaseRepresentation
bin1001101010110011001111…
…01101101101111011101101
32210021121111100202012221100
410311121213231231323231
510241323211001344234
6113115314330353313
74323054631243650
oct465314755557355
983247440665840
1021261828153069
1168580aa774699
12247482728b839
13bb2c9bcc50aa
14537113d5d897
1526d107a3e399
hex135667b6deed

21261828153069 has 96 divisors (see below), whose sum is σ = 37633169134080. Its totient is φ = 11301756719616.

The previous prime is 21261828153067. The next prime is 21261828153103. The reversal of 21261828153069 is 96035182816212.

21261828153069 is a `hidden beast` number, since 2 + 1 + 2 + 618 + 2 + 8 + 15 + 3 + 0 + 6 + 9 = 666.

It is not a de Polignac number, because 21261828153069 - 21 = 21261828153067 is a prime.

It is a super-2 number, since 2×212618281530692 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21261828153067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110829459 + ... + 111021135.

It is an arithmetic number, because the mean of its divisors is an integer number (392012178480).

Almost surely, 221261828153069 is an apocalyptic number.

It is an amenable number.

21261828153069 is a deficient number, since it is larger than the sum of its proper divisors (16371340981011).

21261828153069 is a wasteful number, since it uses less digits than its factorization.

21261828153069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193819 (or 193816 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21261828153069 in words is "twenty-one trillion, two hundred sixty-one billion, eight hundred twenty-eight million, one hundred fifty-three thousand, sixty-nine".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 333 483 777 851 1449 2069 2331 2553 5957 6207 7659 14483 17871 18621 43449 47587 53613 76553 130347 142761 191677 229659 333109 428283 535871 575031 688977 999327 1341739 1607613 1725093 1760719 2997981 4025217 4408571 4822839 5282157 7092049 12075651 12325033 13225713 15846471 21276147 30859997 36975099 39677139 49644343 63828441 92579991 110925297 148933029 163117127 277739973 396579713 446799087 489351381 1141819889 1189739139 1468054143 2776057991 3425459667 3569217417 8328173973 9121333399 10276379001 14673449381 24984521919 27364000197 44020348143 63849333793 82092000591 102714145667 132061044429 191548001379 308142437001 337489335763 574644004137 924427311003 1012468007289 2362425350341 3037404021867 7087276051023 21261828153069