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20161327441716 = 223217374092176921
BaseRepresentation
bin1001001010110001011001…
…10000101010011100110100
32122101101220120111200100200
410211120230300222130310
510120310344311113331
6110513552545040500
74150415326450356
oct445305460523464
978341816450320
1020161327441716
11647340981086a
122317497926130
13b33288576016
144d9b561970d6
1524e6981345e6
hex12562cc2a734

20161327441716 has 144 divisors (see below), whose sum is σ = 55555136516880. Its totient is φ = 6139123384320.

The previous prime is 20161327441687. The next prime is 20161327441771. The reversal of 20161327441716 is 61714472316102.

20161327441716 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 132 + 7 + 441 + 71 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14042976780816 + 6118350660900 = 3747396^2 + 2473530^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8172936 + ... + 10349856.

It is an arithmetic number, because the mean of its divisors is an integer number (385799559145).

Almost surely, 220161327441716 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 20161327441716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777568258440).

20161327441716 is an abundant number, since it is smaller than the sum of its proper divisors (35393809075164).

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

20161327441716 is a wasteful number, since it uses less digits than its factorization.

20161327441716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177394 (or 2177389 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 20161327441716 its reverse (61714472316102), we get a palindrome (81875799757818).

The spelling of 20161327441716 in words is "twenty trillion, one hundred sixty-one billion, three hundred twenty-seven million, four hundred forty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 409 444 612 629 666 818 1227 1258 1332 1636 1887 2454 2516 3681 3774 4908 5661 6953 7362 7548 11322 13906 14724 15133 20859 22644 27812 30266 41718 45399 60532 62577 83436 90798 125154 136197 181596 250308 257261 272394 514522 544788 771783 1029044 1543566 2176921 2315349 3087132 4353842 4630698 6530763 8707684 9261396 13061526 19592289 26123052 37007657 39184578 74015314 78369156 80546077 111022971 148030628 161092154 222045942 241638231 322184308 333068913 444091884 483276462 666137826 724914693 890360689 966552924 1332275652 1369283309 1449829386 1780721378 2671082067 2738566618 2899658772 3561442756 4107849927 5342164134 5477133236 8013246201 8215699854 10684328268 12323549781 15136131713 16026492402 16431399708 24647099562 30272263426 32052984804 32943345493 45408395139 49294199124 60544526852 65886690986 90816790278 98830036479 131773381972 136225185417 181633580556 197660072958 272450370834 296490109437 395320145916 544900741668 560036873381 592980218874 1120073746762 1185960437748 1680110620143 2240147493524 3360221240286 5040331860429 6720442480572 10080663720858 20161327441716