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6484005840 = 2435132078207
BaseRepresentation
bin1100000100111101…
…00001001111010000
3121201212210121212110
412002132201033100
5101234401141330
62551222425320
7316452066054
oct60236411720
917655717773
106484005840
112828063614
12130b592240
137c4440b60
144571ddc64
1527e391db0
hex1827a13d0

6484005840 has 80 divisors (see below), whose sum is σ = 21646614528. Its totient is φ = 1596062208.

The previous prime is 6484005823. The next prime is 6484005841. The reversal of 6484005840 is 485004846.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484005841) 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, 1035984 + ... + 1042223.

Almost surely, 26484005840 is an apocalyptic number.

6484005840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6484005840 is an abundant number, since it is smaller than the sum of its proper divisors (15162608688).

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

6484005840 is a wasteful number, since it uses less digits than its factorization.

6484005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078236 (or 2078230 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 6484005840 is about 80523.3248195826. The cubic root of 6484005840 is about 1864.7235934574.

The spelling of 6484005840 in words is "six billion, four hundred eighty-four million, five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 2078207 4156414 6234621 8312828 10391035 12469242 16625656 20782070 24938484 27016691 31173105 33251312 41564140 49876968 54033382 62346210 81050073 83128280 99753936 108066764 124692420 135083455 162100146 166256560 216133528 249384840 270166910 324200292 405250365 432267056 498769680 540333820 648400584 810500730 1080667640 1296801168 1621001460 2161335280 3242002920 6484005840