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426836404638624 = 253171012589523907
BaseRepresentation
bin110000100001101001001100…
…0010001101001001110100000
32001222022011100221011011120110
41201003102120101221032200
5421421241424041413444
64111445534242211320
7155622625004416221
oct14103223021511640
92058264327134513
10426836404638624
111140043368a8682
123ba57908353b40
1315422667075816
147758dc68c5248
153452edb27dcb9
hex18434984693a0

426836404638624 has 96 divisors (see below), whose sum is σ = 1198100205562176. Its totient is φ = 132583623987200.

The previous prime is 426836404638533. The next prime is 426836404638647.

It is a happy number.

426836404638624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4268364046386242 (a number of 30 digits) contains 22 as substring.

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, 1294597122 + ... + 1294926785.

It is an arithmetic number, because the mean of its divisors is an integer number (12480210474606).

Almost surely, 2426836404638624 is an apocalyptic number.

It is an amenable number.

426836404638624 is an abundant number, since it is smaller than the sum of its proper divisors (771263800923552).

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

426836404638624 is a wasteful number, since it uses less digits than its factorization.

426836404638624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589524038 (or 2589524030 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 66.

The spelling of 426836404638624 in words is "four hundred twenty-six trillion, eight hundred thirty-six billion, four hundred four million, six hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 202 204 272 303 404 408 544 606 808 816 1212 1616 1632 1717 2424 3232 3434 4848 5151 6868 9696 10302 13736 20604 27472 41208 54944 82416 164832 2589523907 5179047814 7768571721 10358095628 15537143442 20716191256 31074286884 41432382512 44021906419 62148573768 82864765024 88043812838 124297147536 132065719257 176087625676 248594295072 261541914607 264131438514 352175251352 523083829214 528262877028 704350502704 784625743821 1046167658428 1056525754056 1408701005408 1569251487642 2092335316856 2113051508112 3138502975284 4184670633712 4226103016224 4446212548319 6277005950568 8369341267424 8892425096638 12554011901136 13338637644957 17784850193276 25108023802272 26677275289914 35569700386552 53354550579828 71139400773104 106709101159656 142278801546208 213418202319312 426836404638624