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6249890016 = 2535803741
BaseRepresentation
bin1011101001000010…
…11100000011100000
3121010120021022100000
411310201130003200
5100244432440031
62512100500000
7310610121456
oct56441340340
917116238300
106249890016
112717999967
1212650aa600
13787aa0396
1443409a9d6
15268a493e6
hex17485c0e0

6249890016 has 72 divisors (see below), whose sum is σ = 18431411544. Its totient is φ = 2083294080.

The previous prime is 6249889969. The next prime is 6249890029. The reversal of 6249890016 is 6100989426.

It is a happy number.

6249890016 is a `hidden beast` number, since 62 + 498 + 90 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×62498900162 = 78122250424192960512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394095 + ... + 409646.

It is an arithmetic number, because the mean of its divisors is an integer number (255991827).

Almost surely, 26249890016 is an apocalyptic number.

It is an amenable number.

6249890016 is an abundant number, since it is smaller than the sum of its proper divisors (12181521528).

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

6249890016 is an equidigital number, since it uses as much as digits as its factorization.

6249890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803766 (or 803746 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6249890016 is about 79056.2459012569. The cubic root of 6249890016 is about 1842.0049443363.

The spelling of 6249890016 in words is "six billion, two hundred forty-nine million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 803741 1607482 2411223 3214964 4822446 6429928 7233669 9644892 12859856 14467338 19289784 21701007 25719712 28934676 38579568 43402014 57869352 65103021 77159136 86804028 115738704 130206042 173608056 195309063 231477408 260412084 347216112 390618126 520824168 694432224 781236252 1041648336 1562472504 2083296672 3124945008 6249890016