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19982018016 = 25322329104021
BaseRepresentation
bin10010100111000001…
…010110010111100000
31220120120200200121100
4102213001112113200
5311410344034031
613102443554400
71305113231202
oct224701262740
956516620540
1019982018016
118524367984
123a57b2ba00
131b65a4cbcc
14d77b64772
157be3b7de6
hex4a70565e0

19982018016 has 144 divisors (see below), whose sum is σ = 61339692960. Its totient is φ = 6151326720.

The previous prime is 19982018011. The next prime is 19982018033. The reversal of 19982018016 is 61081028991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19982018011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140086 + ... + 244106.

It is an arithmetic number, because the mean of its divisors is an integer number (425970090).

Almost surely, 219982018016 is an apocalyptic number.

19982018016 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 19982018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30669846480).

19982018016 is an abundant number, since it is smaller than the sum of its proper divisors (41357674944).

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

19982018016 is a wasteful number, since it uses less digits than its factorization.

19982018016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104089 (or 104078 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 19982018016 in words is "nineteen billion, nine hundred eighty-two million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 72 87 92 96 116 138 144 174 184 207 232 261 276 288 348 368 414 464 522 552 667 696 736 828 928 1044 1104 1334 1392 1656 2001 2088 2208 2668 2784 3312 4002 4176 5336 6003 6624 8004 8352 10672 12006 16008 21344 24012 32016 48024 64032 96048 104021 192096 208042 312063 416084 624126 832168 936189 1248252 1664336 1872378 2392483 2496504 3016609 3328672 3744756 4784966 4993008 6033218 7177449 7489512 9049827 9569932 9986016 12066436 14354898 14979024 18099654 19139864 21532347 24132872 27149481 28709796 29958048 36199308 38279728 43064694 48265744 54298962 57419592 69382007 72398616 76559456 86129388 96531488 108597924 114839184 138764014 144797232 172258776 208146021 217195848 229678368 277528028 289594464 344517552 416292042 434391696 555056056 624438063 689035104 832584084 868783392 1110112112 1248876126 1665168168 2220224224 2497752252 3330336336 4995504504 6660672672 9991009008 19982018016