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36827912836 = 22114132612
BaseRepresentation
bin100010010011000111…
…010101101010000100
310112001121012210221201
4202103013111222010
51100410421202321
624530221552244
72442426044161
oct422307255204
9115047183851
1036827912836
1114689440000
127179715684
13361bb37a00
141ad51ab068
15e5829e291
hex8931d5a84

36827912836 has 135 divisors (see below), whose sum is σ = 78045200415. Its totient is φ = 15198955200.

The previous prime is 36827912833. The next prime is 36827912837. The reversal of 36827912836 is 63821972863.

The square root of 36827912836 is 191906.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25898464900 + 10929447936 = 160930^2 + 104544^2 .

It is not an unprimeable number, because it can be changed into a prime (36827912833) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 603736246 + ... + 603736306.

Almost surely, 236827912836 is an apocalyptic number.

36827912836 is the 191906-th square number.

It is an amenable number.

36827912836 is an abundant number, since it is smaller than the sum of its proper divisors (41217287579).

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

36827912836 is an equidigital number, since it uses as much as digits as its factorization.

36827912836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 87 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 36827912836 in words is "thirty-six billion, eight hundred twenty-seven million, nine hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 4 11 13 22 26 44 52 61 121 122 143 169 242 244 286 338 484 572 671 676 793 1331 1342 1573 1586 1859 2662 2684 3146 3172 3718 3721 5324 6292 7381 7436 7442 8723 10309 14641 14762 14884 17303 17446 20449 20618 29282 29524 34606 34892 40898 40931 41236 48373 58564 69212 81191 81796 81862 95953 96746 113399 162382 163724 190333 191906 193492 224939 226798 324764 380666 383812 449878 450241 453596 532103 628849 761332 893101 899756 900482 1055483 1064206 1247389 1257698 1786202 1800964 2110966 2128412 2474329 2494778 2515396 3572404 4221932 4948658 4952651 4989556 5853133 6917339 9897316 9905302 11610313 11706266 13721279 13834678 19810604 23220626 23412532 27442558 27669356 46441252 54479161 54885116 64384463 76090729 108958322 128768926 150934069 152181458 217916644 257537852 301868138 304362916 603736276 708229093 836998019 1416458186 1673996038 2832916372 3347992076 9206978209 18413956418 36827912836