Search a number
-
+
20203214919936 = 283711312828327
BaseRepresentation
bin1001001011111111011010…
…11100101101100100000000
32122112102000210012001012220
410211333231130231210000
510122002141004414221
6110545121231051040
74153430333236206
oct445775534554400
978472023161186
1020203214919936
11648a154142164
122323627970a80
13b372026967a9
144dbbab2cd076
152507ea6a40c6
hex125fed72d900

20203214919936 has 144 divisors (see below), whose sum is σ = 54943597513728. Its totient is φ = 6588868249600.

The previous prime is 20203214919917. The next prime is 20203214919971. The reversal of 20203214919936 is 63991941230202.

It is a super-3 number, since 3×202032149199363 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5729005 + ... + 8557331.

It is an arithmetic number, because the mean of its divisors is an integer number (381552760512).

Almost surely, 220203214919936 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 20203214919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471798756864).

20203214919936 is an abundant number, since it is smaller than the sum of its proper divisors (34740382593792).

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

20203214919936 is a wasteful number, since it uses less digits than its factorization.

20203214919936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828548 (or 2828534 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 20203214919936 in words is "twenty trillion, two hundred three billion, two hundred fourteen million, nine hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 131 142 192 213 256 262 284 384 393 426 524 568 768 786 852 1048 1136 1572 1704 2096 2272 3144 3408 4192 4544 6288 6816 8384 9088 9301 12576 13632 16768 18176 18602 25152 27264 27903 33536 37204 50304 54528 55806 74408 100608 111612 148816 223224 297632 446448 595264 892896 1190528 1785792 2381056 2828327 3571584 5656654 7143168 8484981 11313308 16969962 22626616 33939924 45253232 67879848 90506464 135759696 181012928 200811217 271519392 362025856 370510837 401622434 543038784 602433651 724051712 741021674 803244868 1086077568 1111532511 1204867302 1482043348 1606489736 2172155136 2223065022 2409734604 2964086696 3212979472 4446130044 4819469208 5928173392 6425958944 8892260088 9638938416 11856346784 12851917888 17784520176 19277876832 23712693568 25703835776 26306269427 35569040352 38555753664 47425387136 51407671552 52612538854 71138080704 77111507328 78918808281 94850774272 105225077708 142276161408 154223014656 157837616562 210450155416 284552322816 315675233124 420900310832 631350466248 841800621664 1262700932496 1683601243328 2525401864992 3367202486656 5050803729984 6734404973312 10101607459968 20203214919936