Search a number
-
+
10932194993769 = 327279219932
BaseRepresentation
bin1001111100010101100110…
…0110010110011001101001
31102201002220110120110211100
42133011121212112121221
52413103113404300034
635130103034552013
72205552661142400
oct237053146263151
942632813513740
1010932194993769
113535355088185
121286895b98609
13613b949774aa
1429b19a296637
1513e588b27099
hex9f159996669

10932194993769 has 81 divisors (see below), whose sum is σ = 18613865020023. Its totient is φ = 6164798238144.

The previous prime is 10932194993743. The next prime is 10932194993809. The reversal of 10932194993769 is 96739949123901.

The square root of 10932194993769 is 3306387.

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

10932194993769 is a `hidden beast` number, since 1 + 0 + 9 + 32 + 19 + 499 + 37 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8000949674025 + 2931245319744 = 2828595^2 + 1712088^2 .

It is not a de Polignac number, because 10932194993769 - 235 = 10897835255401 is a prime.

It is a super-2 number, since 2×109321949937692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10932194993697 and 10932194993706.

It is not an unprimeable number, because it can be changed into a prime (10932194992769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5485295037 + ... + 5485297029.

Almost surely, 210932194993769 is an apocalyptic number.

10932194993769 is the 3306387-th square number.

10932194993769 is the 1653194-th centered octagonal number.

It is an amenable number.

10932194993769 is a deficient number, since it is larger than the sum of its proper divisors (7681670026254).

10932194993769 is an frugal number, since it uses more digits than its factorization.

10932194993769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 178564176, while the sum is 72.

The spelling of 10932194993769 in words is "ten trillion, nine hundred thirty-two billion, one hundred ninety-four million, nine hundred ninety-three thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 79 147 237 441 553 711 1659 1993 3871 4977 5979 6241 11613 13951 17937 18723 34839 41853 43687 56169 97657 125559 131061 157447 292971 305809 393183 472341 878913 917427 1102129 1417023 2752281 3306387 3972049 7714903 9919161 11916147 12438313 23144709 27804343 35748441 37314939 69434127 83413029 87068191 111944817 194630401 250239087 261204573 313791871 583891203 609477337 783613719 941375613 1751673609 1828432011 2196543097 2824126839 5485296033 6589629291 15375801679 19768887873 24789557809 46127405037 74368673427 138382215111 173526904663 223106020281 520580713989 1214688332641 1561742141967 3644064997923 10932194993769