Search a number
-
+
10287632864356 = 221092147132
BaseRepresentation
bin1001010110110100011010…
…1100111101010001100100
31100102111011211012200210121
42111231012230331101210
52322023033003124411
633514023455331324
72111154063346621
oct225550654752144
940374154180717
1010287632864356
113306a62610261
1211a198b520b44
13598172a49993
14277cd19a5348
1512c911a10571
hex95b46b3d464

10287632864356 has 27 divisors (see below), whose sum is σ = 18171276285771. Its totient is φ = 5096279052864.

The previous prime is 10287632864329. The next prime is 10287632864357. The reversal of 10287632864356 is 65346823678201.

The square root of 10287632864356 is 3207434.

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

10287632864356 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 4 ways, for example, as 1978157860900 + 8309475003456 = 1406470^2 + 2882616^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10287632864294 and 10287632864303.

It is not an unprimeable number, because it can be changed into a prime (10287632864357) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 699213256 + ... + 699227968.

Almost surely, 210287632864356 is an apocalyptic number.

10287632864356 is the 3207434-th square number.

It is an amenable number.

10287632864356 is a deficient number, since it is larger than the sum of its proper divisors (7883643421415).

10287632864356 is an frugal number, since it uses more digits than its factorization.

10287632864356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29648 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 10287632864356 in words is "ten trillion, two hundred eighty-seven billion, six hundred thirty-two million, eight hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 4 109 218 436 11881 14713 23762 29426 47524 58852 1603717 3207434 6414868 174805153 216472369 349610306 432944738 699220612 865889476 23595488221 47190976442 94381952884 2571908216089 5143816432178 10287632864356