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6643142016 = 27372471407
BaseRepresentation
bin1100010111111011…
…00100110110000000
3122010222020120122220
412023331210312000
5102101121021031
63015105331040
7323423526660
oct61375446600
918128216586
106643142016
1128a9975a15
121354936a80
1381b3bb384
144703c61a0
1528d328596
hex18bf64d80

6643142016 has 64 divisors (see below), whose sum is σ = 20166689280. Its totient is φ = 1898039808.

The previous prime is 6643141997. The next prime is 6643142021. The reversal of 6643142016 is 6102413466.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233016 + ... + 1238391.

It is an arithmetic number, because the mean of its divisors is an integer number (315104520).

Almost surely, 26643142016 is an apocalyptic number.

It is an amenable number.

6643142016 is an abundant number, since it is smaller than the sum of its proper divisors (13523547264).

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

6643142016 is a wasteful number, since it uses less digits than its factorization.

6643142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471431 (or 2471419 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6643142016 is about 81505.4723070789. The cubic root of 6643142016 is about 1879.8556943710.

The spelling of 6643142016 in words is "six billion, six hundred forty-three million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 2471407 4942814 7414221 9885628 14828442 17299849 19771256 29656884 34599698 39542512 51899547 59313768 69199396 79085024 103799094 118627536 138398792 158170048 207598188 237255072 276797584 316340096 415196376 474510144 553595168 830392752 949020288 1107190336 1660785504 2214380672 3321571008 6643142016