Search a number
-
+
9876645000369 = 3274213792
BaseRepresentation
bin1000111110111001010111…
…1010101011010010110001
31021222012100101001000001100
42033232111322223102301
52243304332110002434
633001133523155013
72036364320220000
oct217562572532261
937865311030040
109876645000369
11316873068a034
1211361b0515a69
13568495b72b94
142620643b0c37
15121daa673699
hex8fb95eab4b1

9876645000369 has 45 divisors (see below), whose sum is σ = 16643764043673. Its totient is φ = 5643533155176.

The previous prime is 9876645000347. The next prime is 9876645000379. The reversal of 9876645000369 is 9630005466789.

The square root of 9876645000369 is 3142713.

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

9876645000369 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 64 + 500 + 0 + 3 + 69 = 666.

It is not a de Polignac number, because 9876645000369 - 221 = 9876642903217 is a prime.

It is a super-2 number, since 2×98766450003692 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9876645000319) 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, 461968122 + ... + 461989500.

Almost surely, 29876645000369 is an apocalyptic number.

9876645000369 is the 3142713-rd square number.

9876645000369 is the 1571357-th centered octagonal number.

It is an amenable number.

9876645000369 is a deficient number, since it is larger than the sum of its proper divisors (6767119043304).

9876645000369 is an frugal number, since it uses more digits than its factorization.

9876645000369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42792 (or 21389 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9876645000369 in words is "nine trillion, eight hundred seventy-six billion, six hundred forty-five million, three hundred sixty-nine", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 21379 21609 64137 149653 192411 448959 1047571 1346877 3142713 7332997 9428139 21998991 51330979 65996973 153992937 457061641 461978811 1371184923 3199431487 4113554769 9598294461 22396020409 28794883383 67188061227 156772142863 201564183681 470316428589 1097405000041 1410949285767 3292215000123 9876645000369