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64556050563684 = 2234349212792
BaseRepresentation
bin11101010110110101000000…
…11101100100001001100100
322110120111110011022120210000
432223122200131210021210
531430141242421014214
6345144350141501300
716412010053645301
oct1653324035441144
9273514404276700
1064556050563684
111962a081630279
1272a748a871830
132a037bcc552b4
1411d275addc0a8
1576e3b730a809
hex3ab6a0764264

64556050563684 has 135 divisors (see below), whose sum is σ = 169379644278537. Its totient is φ = 21440248994592.

The previous prime is 64556050563583. The next prime is 64556050563743. The reversal of 64556050563684 is 48636505065546.

The square root of 64556050563684 is 8034678.

It is a perfect power (a square), and thus also a powerful number.

64556050563684 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 6 + 0 + 5 + 0 + 563 + 68 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47383646082084 + 17172404481600 = 6883578^2 + 4143960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50473846557 + ... + 50473847835.

Almost surely, 264556050563684 is an apocalyptic number.

64556050563684 is the 8034678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64556050563684

64556050563684 is an abundant number, since it is smaller than the sum of its proper divisors (104823593714853).

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

64556050563684 is an frugal number, since it uses more digits than its factorization.

64556050563684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 64556050563684 in words is "sixty-four trillion, five hundred fifty-six billion, fifty million, five hundred sixty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 698 1047 1279 1396 2094 2558 3141 3837 4188 5116 6282 7674 9423 11511 12564 15348 18846 23022 28269 34533 37692 46044 56538 69066 103599 113076 121801 138132 207198 243602 365403 414396 446371 487204 730806 892742 1096209 1339113 1461612 1635841 1785484 2192418 2678226 3271682 3288627 4017339 4384836 4907523 5356452 6543364 6577254 8034678 9815046 9865881 12052017 13154508 14722569 16069356 19630092 19731762 24104034 29445138 36156051 39463524 44167707 48208068 58890276 72312102 88335414 132503121 144624204 155783479 176670828 265006242 311566958 467350437 530012484 570908509 623133916 934700874 1141817018 1402051311 1712725527 1869401748 2283634036 2804102622 3425451054 4206153933 5138176581 5608205244 6850902108 8412307866 10276353162 12618461799 15414529743 16824615732 20552706324 25236923598 30829059486 46243589229 50473847196 61658118972 92487178458 184974356916 199247069641 398494139282 597741208923 796988278564 1195482417846 1793223626769 2390964835692 3586447253538 5379670880307 7172894507076 10759341760614 16139012640921 21518683521228 32278025281842 64556050563684