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38806720086016 = 218236
BaseRepresentation
bin10001101001011011001001…
…10001000000000000000000
312002101212221001020122022201
420310231210301000000000
520041302130320223031
6214311321110242544
711113456462115131
oct1064554461000000
9162355831218281
1038806720086016
1111401923888083
124429004056454
1318865c52cb51c
14982380685c88
154746b9ea7d61
hex234b64c40000

38806720086016 has 133 divisors (see below), whose sum is σ = 81141169027591. Its totient is φ = 18559735693312.

The previous prime is 38806720085999. The next prime is 38806720086019. The reversal of 38806720086016 is 61068002760883.

The square root of 38806720086016 is 6229504.

The cubic root of 38806720086016 is 33856.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38806720086019) by changing a digit.

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 6 ways as a sum of consecutive naturals, for example, 1687248699381 + ... + 1687248699403.

Almost surely, 238806720086016 is an apocalyptic number.

38806720086016 is the 6229504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38806720086016

38806720086016 is an abundant number, since it is smaller than the sum of its proper divisors (42334448941575).

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

38806720086016 is an frugal number, since it uses more digits than its factorization.

38806720086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 38806720086016 in words is "thirty-eight trillion, eight hundred six billion, seven hundred twenty million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8192 8464 11776 12167 16384 16928 23552 24334 32768 33856 47104 48668 65536 67712 94208 97336 131072 135424 188416 194672 262144 270848 279841 376832 389344 541696 559682 753664 778688 1083392 1119364 1507328 1557376 2166784 2238728 3014656 3114752 4333568 4477456 6029312 6229504 6436343 8667136 8954912 12459008 12872686 17334272 17909824 24918016 25745372 34668544 35819648 49836032 51490744 69337088 71639296 99672064 102981488 138674176 143278592 148035889 199344128 205962976 286557184 296071778 398688256 411925952 573114368 592143556 797376512 823851904 1146228736 1184287112 1594753024 1647703808 2292457472 2368574224 3189506048 3295407616 4584914944 4737148448 6590815232 9169829888 9474296896 13181630464 18339659776 18948593792 26363260928 36679319552 37897187584 52726521856 73358639104 75794375168 105453043712 151588750336 210906087424 303177500672 421812174848 606355001344 843624349696 1212710002688 1687248699392 2425420005376 4850840010752 9701680021504 19403360043008 38806720086016