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8418970960 = 245105237137
BaseRepresentation
bin1111101011100111…
…10100110101010000
3210201201210001000021
413311303310311100
5114220224032320
63511223433224
7415426033561
oct76563646520
923651701007
108418970960
113630320544
12176b5b5814
13a4229762a
1459c1aa168
153441a9daa
hex1f5cf4d50

8418970960 has 20 divisors (see below), whose sum is σ = 19574107668. Its totient is φ = 3367588352.

The previous prime is 8418970943. The next prime is 8418970981. The reversal of 8418970960 is 690798148.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1852785936 + 6566185024 = 43044^2 + 81032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8418970898 and 8418970907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52618489 + ... + 52618648.

Almost surely, 28418970960 is an apocalyptic number.

8418970960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8418970960 is an abundant number, since it is smaller than the sum of its proper divisors (11155136708).

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

8418970960 is a wasteful number, since it uses less digits than its factorization.

8418970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105237150 (or 105237144 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 8418970960 is about 91754.9506021337. The cubic root of 8418970960 is about 2034.3218816462.

The spelling of 8418970960 in words is "eight billion, four hundred eighteen million, nine hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 105237137 210474274 420948548 526185685 841897096 1052371370 1683794192 2104742740 4209485480 8418970960