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4049045426176 = 21223213672
BaseRepresentation
bin111010111010111101111…
…010100001000000000000
3112100002021221022111102221
4322322331322201000000
51012314421112114201
612340034503420424
7565351056152602
oct72727572410000
915302257274387
104049045426176
111321210648233
12554895154714
13234a91b7487a
14ddd90d89172
15704d1b434a1
hex3aebdea1000

4049045426176 has 117 divisors (see below), whose sum is σ = 8470653198511. Its totient is φ = 1935083380736.

The previous prime is 4049045426159. The next prime is 4049045426191. The reversal of 4049045426176 is 6716245409404.

The square root of 4049045426176 is 2012224.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2961993045 + ... + 2961994411.

Almost surely, 24049045426176 is an apocalyptic number.

4049045426176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4049045426176 is the 2012224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4049045426176

4049045426176 is an abundant number, since it is smaller than the sum of its proper divisors (4421607772335).

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

4049045426176 is an frugal number, since it uses more digits than its factorization.

4049045426176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 4049045426176 in words is "four trillion, forty-nine billion, forty-five million, four hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1367 1472 2048 2116 2734 2944 4096 4232 5468 5888 8464 10936 11776 16928 21872 23552 31441 33856 43744 47104 62882 67712 87488 94208 125764 135424 174976 251528 270848 349952 503056 541696 699904 723143 1006112 1083392 1399808 1446286 1868689 2012224 2166784 2799616 2892572 3737378 4024448 5599232 5785144 7474756 8048896 11570288 14949512 16097792 23140576 29899024 32195584 42979847 46281152 59798048 64391168 85959694 92562304 119596096 128782336 171919388 185124608 239192192 343838776 370249216 478384384 687677552 740498432 956768768 988536481 1375355104 1480996864 1913537536 1977072962 2750710208 2961993728 3827075072 3954145924 5501420416 7654150144 7908291848 11002840832 15816583696 22005681664 31633167392 44011363328 63266334784 88022726656 126532669568 176045453312 253065339136 506130678272 1012261356544 2024522713088 4049045426176