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5117601006 = 233713538627
BaseRepresentation
bin1001100010000100…
…00110010011101110
3111012122200001211000
410301002012103232
540440101213011
62203451541130
7240550614360
oct46102062356
914178601730
105117601006
112196830421
12ba9a5a7a6
1363732589b
14367954d30
151ee436356
hex1310864ee

5117601006 has 32 divisors (see below), whose sum is σ = 12997082880. Its totient is φ = 1462171608.

The previous prime is 5117600989. The next prime is 5117601007. The reversal of 5117601006 is 6001067115.

5117601006 is a `hidden beast` number, since 51 + 1 + 7 + 601 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×51176010062 = 52379680113224424072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117601007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6768936 + ... + 6769691.

It is an arithmetic number, because the mean of its divisors is an integer number (406158840).

Almost surely, 25117601006 is an apocalyptic number.

5117601006 is an abundant number, since it is smaller than the sum of its proper divisors (7879481874).

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

5117601006 is a wasteful number, since it uses less digits than its factorization.

5117601006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538645 (or 13538639 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5117601006 is about 71537.4098356937. The cubic root of 5117601006 is about 1723.2785185182.

The spelling of 5117601006 in words is "five billion, one hundred seventeen million, six hundred one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 13538627 27077254 40615881 81231762 94770389 121847643 189540778 243695286 284311167 365542929 568622334 731085858 852933501 1705867002 2558800503 5117601006