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2986395648 = 2113975011
BaseRepresentation
bin1011001000000000…
…1100100000000000
321201010102121200020
42302000030200000
522104004130043
61212200453440
7134001641565
oct26200144000
97633377606
102986395648
1112a2819285
126b417a280
13387930222
142048a486c
151272a7e83
hexb200c800

2986395648 has 96 divisors (see below), whose sum is σ = 8045462880. Its totient is φ = 985006080.

The previous prime is 2986395637. The next prime is 2986395649. The reversal of 2986395648 is 8465936892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2986395591 and 2986395600.

It is not an unprimeable number, because it can be changed into a prime (2986395649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593463 + ... + 598473.

It is an arithmetic number, because the mean of its divisors is an integer number (83806905).

Almost surely, 22986395648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2986395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022731440).

2986395648 is an abundant number, since it is smaller than the sum of its proper divisors (5059067232).

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

2986395648 is an equidigital number, since it uses as much as digits as its factorization.

2986395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5113 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The square root of 2986395648 is about 54647.9244619592. The cubic root of 2986395648 is about 1440.0661697989.

The spelling of 2986395648 in words is "two billion, nine hundred eighty-six million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 512 582 768 776 1024 1164 1536 1552 2048 2328 3072 3104 4656 5011 6144 6208 9312 10022 12416 15033 18624 20044 24832 30066 37248 40088 49664 60132 74496 80176 99328 120264 148992 160352 198656 240528 297984 320704 481056 486067 595968 641408 962112 972134 1282816 1458201 1924224 1944268 2565632 2916402 3848448 3888536 5131264 5832804 7696896 7777072 10262528 11665608 15393792 15554144 23331216 30787584 31108288 46662432 62216576 93324864 124433152 186649728 248866304 373299456 497732608 746598912 995465216 1493197824 2986395648