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6414640020 = 2233511878963
BaseRepresentation
bin1011111100101011…
…11010001110010100
3121120001021110212000
411332111322032110
5101114121440040
62540303555300
7314650353255
oct57625721624
917501243760
106414640020
1127a1995a98
1212b02bbb30
137b2c64ba9
1444bd04b2c
1527823e130
hex17e57a394

6414640020 has 48 divisors (see below), whose sum is σ = 19956659520. Its totient is φ = 1710570528.

The previous prime is 6414639983. The next prime is 6414640031. The reversal of 6414640020 is 200464146.

6414640020 is a `hidden beast` number, since 6 + 4 + 14 + 640 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×64146400202 = 82295213172371200800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 5938942 + ... + 5940021.

It is an arithmetic number, because the mean of its divisors is an integer number (415763740).

Almost surely, 26414640020 is an apocalyptic number.

6414640020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6414640020 is an abundant number, since it is smaller than the sum of its proper divisors (13542019500).

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

6414640020 is a wasteful number, since it uses less digits than its factorization.

6414640020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878981 (or 11878973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6414640020 is about 80091.4478580579. The cubic root of 6414640020 is about 1858.0501418806.

The spelling of 6414640020 in words is "six billion, four hundred fourteen million, six hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11878963 23757926 35636889 47515852 59394815 71273778 106910667 118789630 142547556 178184445 213821334 237579260 320732001 356368890 427642668 534553335 641464002 712737780 1069106670 1282928004 1603660005 2138213340 3207320010 6414640020