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6861317040 = 243259529607
BaseRepresentation
bin1100110001111011…
…10110001110110000
3122201011210000112100
412120331312032300
5103022444121130
63052501500400
7332013142524
oct63075661660
918634700470
106861317040
112a01042056
1213b5a11700
1385466a216
14491379d84
152a2572c60
hex198f763b0

6861317040 has 60 divisors (see below), whose sum is σ = 23042592144. Its totient is φ = 1829684352.

The previous prime is 6861317009. The next prime is 6861317041. The reversal of 6861317040 is 407131686.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6861316986 and 6861317004.

It is not an unprimeable number, because it can be changed into a prime (6861317041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764084 + ... + 4765523.

Almost surely, 26861317040 is an apocalyptic number.

6861317040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6861317040 is an abundant number, since it is smaller than the sum of its proper divisors (16181275104).

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

6861317040 is a wasteful number, since it uses less digits than its factorization.

6861317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529626 (or 9529617 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6861317040 is about 82833.0673101027. The cubic root of 6861317040 is about 1900.2139223585.

The spelling of 6861317040 in words is "six billion, eight hundred sixty-one million, three hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9529607 19059214 28588821 38118428 47648035 57177642 76236856 85766463 95296070 114355284 142944105 152473712 171532926 190592140 228710568 285888210 343065852 381184280 428832315 457421136 571776420 686131704 762368560 857664630 1143552840 1372263408 1715329260 2287105680 3430658520 6861317040