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64163005026054 = 231123110357176703
BaseRepresentation
bin11101001011011000111010…
…00111110100111100000110
322102011220221010210111200120
432211230131013310330012
531402221313241313204
6344244024431522410
716341424036002624
oct1645543507647406
9272156833714616
1064163005026054
111949841767a440
127243278689406
1329a571236795c
1411bb712700514
157640612336d9
hex3a5b1d1f4f06

64163005026054 has 128 divisors (see below), whose sum is σ = 146258449072128. Its totient is φ = 18575089484160.

The previous prime is 64163005025989. The next prime is 64163005026067. The reversal of 64163005026054 is 45062050036146.

It is a junction number, because it is equal to n+sod(n) for n = 64163005025997 and 64163005026015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9572278467 + ... + 9572285169.

It is an arithmetic number, because the mean of its divisors is an integer number (1142644133376).

Almost surely, 264163005026054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64163005026054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73129224536064).

64163005026054 is an abundant number, since it is smaller than the sum of its proper divisors (82095444046074).

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

64163005026054 is a wasteful number, since it uses less digits than its factorization.

64163005026054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 64163005026054 in words is "sixty-four trillion, one hundred sixty-three billion, five million, twenty-six thousand, fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1103 1518 2206 3309 5717 6618 6703 11434 12133 13406 17151 20109 24266 25369 34302 36399 40218 50738 62887 72798 73733 76107 125774 131491 147466 152214 154169 188661 221199 262982 279059 308338 377322 394473 442398 462507 558118 788946 837177 925014 1446401 1674354 1695859 2892802 3391718 4339203 5087577 6305851 7393409 8678406 10175154 12611702 14786818 18917553 22180227 37835106 38321051 44360454 69364361 76642102 81327499 114963153 138728722 145034573 162654998 170048407 208093083 229926306 243982497 290069146 340096814 416186166 421531561 435103719 487964994 510145221 843063122 870207438 881384173 1020290442 1264594683 1595380303 1762768346 1870532477 2529189366 2644152519 3190760606 3741064954 4786140909 5288305038 5611597431 9572281818 9695225903 11223194862 19390451806 29085677709 42268119253 58171355418 84536238506 126804357759 253608715518 464949311783 929898623566 972166742819 1394847935349 1944333485638 2789695870698 2916500228457 5833000456914 10693834171009 21387668342018 32081502513027 64163005026054