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6942442496 = 21011738443
BaseRepresentation
bin1100111011100110…
…10100010000000000
3122220211102121201212
412131303110100000
5103204231124441
63104520345252
7334016534063
oct63563242000
918824377655
106942442496
112a42911890
121419015228
13868402952
1449c0568da
152a9749eeb
hex19dcd4400

6942442496 has 88 divisors (see below), whose sum is σ = 15348962784. Its totient is φ = 3112058880.

The previous prime is 6942442487. The next prime is 6942442523.

6942442496 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

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 7 ways as a sum of consecutive naturals, for example, 818051 + ... + 826493.

Almost surely, 26942442496 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 6942442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674481392).

6942442496 is an abundant number, since it is smaller than the sum of its proper divisors (8406520288).

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

6942442496 is a wasteful number, since it uses less digits than its factorization.

6942442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8529 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 6942442496 is about 83321.3207768576. The cubic root of 6942442496 is about 1907.6737205905.

The spelling of 6942442496 in words is "six billion, nine hundred forty-two million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 256 292 352 512 584 704 803 1024 1168 1408 1606 2336 2816 3212 4672 5632 6424 8443 9344 11264 12848 16886 18688 25696 33772 37376 51392 67544 74752 92873 102784 135088 185746 205568 270176 371492 411136 540352 616339 742984 822272 1080704 1232678 1485968 2161408 2465356 2971936 4322816 4930712 5943872 6779729 8645632 9861424 11887744 13559458 19722848 23775488 27118916 39445696 47550976 54237832 78891392 95101952 108475664 157782784 216951328 315565568 433902656 631131136 867805312 1735610624 3471221248 6942442496