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4518629891968 = 27237328617349
BaseRepresentation
bin100000111000001001101…
…0101000101111110000000
3120222222101002022222112111
41001300103111011332000
51043013123223020333
613335455132305104
7644313601232353
oct101602325057600
916888332288474
104518629891968
1114923818566a5
1260b8a8012194
1326a14980a40a
141189ba8b829a
157c81741b4cd
hex41c13545f80

4518629891968 has 128 divisors (see below), whose sum is σ = 9526647816000. Its totient is φ = 2130445025280.

The previous prime is 4518629891959. The next prime is 4518629891981. The reversal of 4518629891968 is 8691989268154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45186298919682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4518629891894 and 4518629891903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614859558 + ... + 614866906.

Almost surely, 24518629891968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4518629891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763323908000).

4518629891968 is an abundant number, since it is smaller than the sum of its proper divisors (5008017924032).

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

4518629891968 is a wasteful number, since it uses less digits than its factorization.

4518629891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10308 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 76.

The spelling of 4518629891968 in words is "four trillion, five hundred eighteen billion, six hundred twenty-nine million, eight hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 292 368 584 736 1168 1472 1679 2336 2861 2944 3358 4672 5722 6716 7349 9344 11444 13432 14698 22888 26864 29396 45776 53728 58792 65803 91552 107456 117584 131606 169027 183104 208853 214912 235168 263212 338054 366208 417706 470336 526424 536477 676108 835412 940672 1052848 1072954 1352216 1670824 2105696 2145908 2704432 3341648 4211392 4291816 4803619 5408864 6683296 8422784 8583632 9607238 10817728 12338971 13366592 17167264 19214476 21025489 21635456 24677942 26733184 34334528 38428952 42050978 49355884 68669056 76857904 84101956 98711768 153715808 168203912 197423536 307431616 336407824 394847072 483586247 614863232 672815648 789694144 967172494 1345631296 1534860697 1579388288 1934344988 2691262592 3069721394 3868689976 6139442788 7737379952 12278885576 15474759904 24557771152 30949519808 35301796031 49115542304 61899039616 70603592062 98231084608 141207184124 196462169216 282414368248 564828736496 1129657472992 2259314945984 4518629891968