Search a number
-
+
2993195008 = 2114313391
BaseRepresentation
bin1011001001101000…
…1000100000000000
321201121020001122101
42302122020200000
522112224220013
61213002320144
7134113511026
oct26232104000
97647201571
102993195008
1112a6642791
126b64b9054
1338917100b
14205754716
15127b9c8dd
hexb2688800

2993195008 has 48 divisors (see below), whose sum is σ = 6000583680. Its totient is φ = 1492684800.

The previous prime is 2993194991. The next prime is 2993195071. The reversal of 2993195008 is 8005913992.

It is a super-2 number, since 2×29931950082 = 17918432711832240128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 880993 + ... + 884383.

It is an arithmetic number, because the mean of its divisors is an integer number (125012160).

Almost surely, 22993195008 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 2993195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000291840).

2993195008 is an abundant number, since it is smaller than the sum of its proper divisors (3007388672).

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

2993195008 is an equidigital number, since it uses as much as digits as its factorization.

2993195008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 2993195008 is about 54710.0996891799. The cubic root of 2993195008 is about 1441.1582450857.

The spelling of 2993195008 in words is "two billion, nine hundred ninety-three million, one hundred ninety-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 431 512 862 1024 1724 2048 3391 3448 6782 6896 13564 13792 27128 27584 54256 55168 108512 110336 217024 220672 434048 441344 868096 882688 1461521 1736192 2923042 3472384 5846084 6944768 11692168 23384336 46768672 93537344 187074688 374149376 748298752 1496597504 2993195008