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16362442272 = 2531119977863
BaseRepresentation
bin11110011110100011…
…10000111000100000
31120020022211012010110
433033101300320200
5232002241123042
611303343531320
71116322315221
oct171721607040
946208735113
1016362442272
116a37199070
1232078b9b40
131709ba7807
14b1315b248
1565b73b09c
hex3cf470e20

16362442272 has 96 divisors (see below), whose sum is σ = 47092147200. Its totient is φ = 4933336320.

The previous prime is 16362442223. The next prime is 16362442307. The reversal of 16362442272 is 27224426361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 16362442272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171213 + ... + 249075.

It is an arithmetic number, because the mean of its divisors is an integer number (490543200).

Almost surely, 216362442272 is an apocalyptic number.

16362442272 is a gapful number since it is divisible by the number (12) 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 16362442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546073600).

16362442272 is an abundant number, since it is smaller than the sum of its proper divisors (30729704928).

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

16362442272 is a wasteful number, since it uses less digits than its factorization.

16362442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78086 (or 78078 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The spelling of 16362442272 in words is "sixteen billion, three hundred sixty-two million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 199 264 352 398 528 597 796 1056 1194 1592 2189 2388 3184 4378 4776 6368 6567 8756 9552 13134 17512 19104 26268 35024 52536 70048 77863 105072 155726 210144 233589 311452 467178 622904 856493 934356 1245808 1712986 1868712 2491616 2569479 3425972 3737424 5138958 6851944 7474848 10277916 13703888 15494737 20555832 27407776 30989474 41111664 46484211 61978948 82223328 92968422 123957896 170442107 185936844 247915792 340884214 371873688 495831584 511326321 681768428 743747376 1022652642 1363536856 1487494752 2045305284 2727073712 4090610568 5454147424 8181221136 16362442272