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16680211920 = 2432541575573
BaseRepresentation
bin11111000100011011…
…11101010111010000
31121001110202120010200
433202031331113100
5233130113240140
611355054455200
71130231314311
oct174215752720
947043676120
1016680211920
11708a5aa109
123296204500
13175a9877a8
14b43438608
156795aa030
hex3e237d5d0

16680211920 has 120 divisors (see below), whose sum is σ = 56041241256. Its totient is φ = 4446188544.

The previous prime is 16680211901. The next prime is 16680211931. The reversal of 16680211920 is 2911208661.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 16678172736 = 1428^2 + 129144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×166802119202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2990254 + ... + 2995826.

Almost surely, 216680211920 is an apocalyptic number.

16680211920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16680211920 is an abundant number, since it is smaller than the sum of its proper divisors (39361029336).

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

16680211920 is a wasteful number, since it uses less digits than its factorization.

16680211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 16680211920 in words is "sixteen billion, six hundred eighty million, two hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4157 5573 8314 11146 12471 16628 16719 20785 22292 24942 27865 33256 33438 37413 41570 44584 49884 50157 55730 62355 66512 66876 74826 83140 83595 89168 99768 100314 111460 124710 133752 149652 166280 167190 187065 199536 200628 222920 249420 250785 267504 299304 332560 334380 374130 401256 445840 498840 501570 598608 668760 748260 802512 997680 1003140 1337520 1496520 2006280 2993040 4012560 23166961 46333922 69500883 92667844 115834805 139001766 185335688 208502649 231669610 278003532 347504415 370671376 417005298 463339220 556007064 695008830 834010596 926678440 1042513245 1112014128 1390017660 1668021192 1853356880 2085026490 2780035320 3336042384 4170052980 5560070640 8340105960 16680211920