Search a number
-
+
8486809106976 = 253229468087177
BaseRepresentation
bin111101101111111110100…
…1111011111101000100000
31010001022221022121022122100
41323133331033133220200
52103021441112410401
630014441500410400
71534103020103544
oct173377517375040
933038838538570
108486809106976
112782265543552
12b50973246a00
134973c1c54195
14214a99a45a24
15eab649dab86
hex7b7fd3dfa20

8486809106976 has 36 divisors (see below), whose sum is σ = 24134363398782. Its totient is φ = 2828936368896.

The previous prime is 8486809106939. The next prime is 8486809106977. The reversal of 8486809106976 is 6796019086848.

8486809106976 is a `hidden beast` number, since 8 + 486 + 8 + 0 + 9 + 10 + 69 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4505108130576 + 3981700976400 = 2122524^2 + 1995420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×84868091069762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8486809106977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14734043301 + ... + 14734043876.

Almost surely, 28486809106976 is an apocalyptic number.

It is an amenable number.

8486809106976 is an abundant number, since it is smaller than the sum of its proper divisors (15647554291806).

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

8486809106976 is a wasteful number, since it uses less digits than its factorization.

8486809106976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29468087193 (or 29468087182 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 8486809106976 in words is "eight trillion, four hundred eighty-six billion, eight hundred nine million, one hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 29468087177 58936174354 88404261531 117872348708 176808523062 235744697416 265212784593 353617046124 471489394832 530425569186 707234092248 942978789664 1060851138372 1414468184496 2121702276744 2828936368992 4243404553488 8486809106976