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41489146656 = 25323738910009
BaseRepresentation
bin100110101000111100…
…100010001100100000
310222002110011000200100
4212220330202030200
51134432210143111
631020532222400
72666065633146
oct465074421440
9128073130610
1041489146656
11166605a5a61
12805a76aa00
133bb2744729
142018287596
15112c5da756
hex9a8f22320

41489146656 has 144 divisors (see below), whose sum is σ = 121497175800. Its totient is φ = 13420007424.

The previous prime is 41489146649. The next prime is 41489146667. The reversal of 41489146656 is 65664198414.

41489146656 is a `hidden beast` number, since 4 + 1 + 48 + 91 + 466 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41347155600 + 141991056 = 203340^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4140180 + ... + 4150188.

Almost surely, 241489146656 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 41489146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60748587900).

41489146656 is an abundant number, since it is smaller than the sum of its proper divisors (80008029144).

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

41489146656 is a wasteful number, since it uses less digits than its factorization.

41489146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10440 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 41489146656 in words is "forty-one billion, four hundred eighty-nine million, one hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 389 444 592 666 778 888 1167 1184 1332 1556 1776 2334 2664 3112 3501 3552 4668 5328 6224 7002 9336 10009 10656 12448 14004 14393 18672 20018 28008 28786 30027 37344 40036 43179 56016 57572 60054 80072 86358 90081 112032 115144 120108 129537 160144 172716 180162 230288 240216 259074 320288 345432 360324 370333 460576 480432 518148 690864 720648 740666 960864 1036296 1110999 1381728 1441296 1481332 2072592 2221998 2882592 2962664 3332997 3893501 4145184 4443996 5925328 6665994 7787002 8887992 11680503 11850656 13331988 15574004 17775984 23361006 26663976 31148008 35041509 35551968 46722012 53327952 62296016 70083018 93444024 106655904 124592032 140166036 144059537 186888048 280332072 288119074 373776096 432178611 560664144 576238148 864357222 1121328288 1152476296 1296535833 1728714444 2304952592 2593071666 3457428888 4609905184 5186143332 6914857776 10372286664 13829715552 20744573328 41489146656