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14006533376 = 2811172312721
BaseRepresentation
bin11010000101101101…
…01011110100000000
31100011010202121200102
431002312223310000
5212141133032001
610233504341532
71004044366163
oct150266536400
940133677612
1014006533376
115a38360920
12286a9148a8
131422a88894
1496c2d7ada
1556e9c3e6b
hex342dabd00

14006533376 has 144 divisors (see below), whose sum is σ = 33700883328. Its totient is φ = 5731123200.

The previous prime is 14006533357. The next prime is 14006533381. The reversal of 14006533376 is 67333560041.

It is a happy number.

It is a congruent number.

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, 1094696 + ... + 1107416.

It is an arithmetic number, because the mean of its divisors is an integer number (234033912).

Almost surely, 214006533376 is an apocalyptic number.

14006533376 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 14006533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850441664).

14006533376 is an abundant number, since it is smaller than the sum of its proper divisors (19694349952).

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

14006533376 is a wasteful number, since it uses less digits than its factorization.

14006533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12774 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 14006533376 in words is "fourteen billion, six million, five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 136 176 184 187 253 256 272 352 368 374 391 506 544 704 736 748 782 1012 1088 1408 1472 1496 1564 2024 2176 2816 2944 2992 3128 4048 4301 4352 5888 5984 6256 8096 8602 11968 12512 12721 16192 17204 23936 25024 25442 32384 34408 47872 50048 50884 64768 68816 100096 101768 137632 139931 203536 216257 275264 279862 292583 407072 432514 550528 559724 585166 814144 865028 1101056 1119448 1170332 1628288 1730056 2238896 2340664 2378827 3218413 3256576 3460112 4477792 4681328 4757654 4973911 6436826 6920224 8955584 9362656 9515308 9947822 12873652 13840448 17911168 18725312 19030616 19895644 25747304 27680896 35822336 37450624 38061232 39791288 51494608 54713021 55361792 74901248 76122464 79582576 102989216 109426042 152244928 159165152 205978432 218852084 304489856 318330304 411956864 437704168 608979712 636660608 823913728 875408336 1273321216 1750816672 3501633344 7003266688 14006533376