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2150269641 = 32132292412
BaseRepresentation
bin1000000000101010…
…1000001011001001
312112212010000102100
42000022220023021
513400432112031
6553211424013
7104166663462
oct20012501311
95485100370
102150269641
11a03853453
12500155009
1328363bc00
14165813d69
15c8b96de6
hex802a82c9

2150269641 has 81 divisors (see below), whose sum is σ = 3570243807. Its totient is φ = 1246452480.

The previous prime is 2150269603. The next prime is 2150269661. The reversal of 2150269641 is 1469620512.

The square root of 2150269641 is 46371.

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

2150269641 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 2 + 6 + 9 + 641 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2105433225 + 44836416 = 45885^2 + 6696^2 .

It is a de Polignac number, because none of the positive numbers 2k-2150269641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2150269596 and 2150269605.

It is not an unprimeable number, because it can be changed into a prime (2150269661) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52445581 + ... + 52445621.

Almost surely, 22150269641 is an apocalyptic number.

2150269641 is the 46371-st square number.

2150269641 is the 23186-th centered octagonal number.

It is an amenable number.

2150269641 is a deficient number, since it is larger than the sum of its proper divisors (1419974166).

2150269641 is a wasteful number, since it uses less digits than its factorization.

2150269641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 2150269641 is about 1290.7168343302.

Multiplying 2150269641 by its sum of digits (36), we get a square (77409707076 = 2782262).

The spelling of 2150269641 in words is "two billion, one hundred fifty million, two hundred sixty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 13 29 39 41 87 117 123 169 261 369 377 507 533 841 1131 1189 1521 1599 1681 2523 3393 3567 4797 4901 5043 6929 7569 10701 10933 14703 15129 15457 20787 21853 32799 34481 44109 46371 48749 62361 65559 98397 103443 139113 142129 146247 196677 200941 284089 310329 426387 438741 448253 602823 633737 852267 1279161 1344759 1413721 1808469 1901211 2556801 4034277 4241163 5703633 5827289 8238581 12723489 17481867 18378373 24715743 52445601 55135119 74147229 165405357 238918849 716756547 2150269641