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20469121402176 = 263411813343369
BaseRepresentation
bin1001010011101110101101…
…01101011100010101000000
32200110211101021010220220000
410221313112231130111000
510140331230034332201
6111311215021520000
74211562624112566
oct451672655342500
980424337126800
1020469121402176
1165819a64479a7
122367077413000
13b562cb027745
1450a9d448ba36
152576aeb8ed86
hex129dd6b5c540

20469121402176 has 140 divisors (see below), whose sum is σ = 60728283945780. Its totient is φ = 6817261086720.

The previous prime is 20469121402111. The next prime is 20469121402201. The reversal of 20469121402176 is 67120412196402.

20469121402176 is a `hidden beast` number, since 2 + 0 + 4 + 69 + 12 + 1 + 402 + 176 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18901417075776 + 1567704326400 = 4347576^2 + 1252080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4450620 + ... + 7793988.

Almost surely, 220469121402176 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 20469121402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30364141972890).

20469121402176 is an abundant number, since it is smaller than the sum of its proper divisors (40259162543604).

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

20469121402176 is a wasteful number, since it uses less digits than its factorization.

20469121402176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344574 (or 3344555 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 20469121402176 its reverse (67120412196402), we get a palindrome (87589533598578).

The spelling of 20469121402176 in words is "twenty trillion, four hundred sixty-nine billion, one hundred twenty-one million, four hundred two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1181 1296 1728 2362 2592 3543 4724 5184 7086 9448 10629 14172 18896 21258 28344 31887 37792 42516 56688 63774 75584 85032 95661 113376 127548 170064 191322 226752 255096 340128 382644 510192 680256 765288 1020384 1530576 2040768 3061152 3343369 6122304 6686738 10030107 13373476 20060214 26746952 30090321 40120428 53493904 60180642 80240856 90270963 106987808 120361284 160481712 180541926 213975616 240722568 270812889 320963424 361083852 481445136 541625778 641926848 722167704 962890272 1083251556 1444335408 1925780544 2166503112 2888670816 3948518789 4333006224 5777341632 7897037578 8666012448 11845556367 15794075156 17332024896 23691112734 31588150312 35536669101 47382225468 63176300624 71073338202 94764450936 106610007303 126352601248 142146676404 189528901872 213220014606 252705202496 284293352808 319830021909 379057803744 426440029212 568586705616 639660043818 758115607488 852880058424 1137173411232 1279320087636 1705760116848 2274346822464 2558640175272 3411520233696 5117280350544 6823040467392 10234560701088 20469121402176