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16616006656 = 21023897927
BaseRepresentation
bin11110111100110010…
…00010010000000000
31120212222221121001221
433132121002100000
5233012144203111
611344442404424
71125521504044
oct173631022000
946788847057
1016616006656
117057336807
123278800714
13174a597702
14b38ac4024
15673b26371
hex3de642400

16616006656 has 88 divisors (see below), whose sum is σ = 35053810560. Its totient is φ = 7856504832.

The previous prime is 16616006653. The next prime is 16616006677. The reversal of 16616006656 is 65660061661.

It is not an unprimeable number, because it can be changed into a prime (16616006653) 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 7 ways as a sum of consecutive naturals, for example, 2092165 + ... + 2100091.

Almost surely, 216616006656 is an apocalyptic number.

16616006656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16616006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526905280).

16616006656 is an abundant number, since it is smaller than the sum of its proper divisors (18437803904).

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

16616006656 is an equidigital number, since it uses as much as digits as its factorization.

16616006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 16616006656 in words is "sixteen billion, six hundred sixteen million, six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 712 736 1024 1424 1472 2047 2848 2944 4094 5696 5888 7927 8188 11392 11776 15854 16376 22784 23552 31708 32752 45568 63416 65504 91136 126832 131008 182321 253664 262016 364642 507328 524032 705503 729284 1014656 1048064 1411006 1458568 2029312 2096128 2822012 2917136 4058624 5644024 5834272 8117248 11288048 11668544 16226569 22576096 23337088 32453138 45152192 46674176 64906276 90304384 93348352 129812552 180608768 186696704 259625104 361217536 519250208 722435072 1038500416 2077000832 4154001664 8308003328 16616006656