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41606398656 = 263335368209
BaseRepresentation
bin100110101111111011…
…110100001011000000
310222101121210001012000
4212233323310023000
51140202214224111
631040321304000
73002021360544
oct465773641300
9128347701160
1041606398656
1116710800139
128091a95000
133c00b18904
142029a89a24
151137a4bc56
hex9afef42c0

41606398656 has 112 divisors (see below), whose sum is σ = 122663407200. Its totient is φ = 13829308416.

The previous prime is 41606398643. The next prime is 41606398661. The reversal of 41606398656 is 65689360614.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575880 + ... + 644088.

Almost surely, 241606398656 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 41606398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61331703600).

41606398656 is an abundant number, since it is smaller than the sum of its proper divisors (81057008544).

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

41606398656 is a wasteful number, since it uses less digits than its factorization.

41606398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68583 (or 68567 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 41606398656 in words is "forty-one billion, six hundred six million, three hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 353 432 576 706 864 1059 1412 1728 2118 2824 3177 4236 5648 6354 8472 9531 11296 12708 16944 19062 22592 25416 33888 38124 50832 67776 68209 76248 101664 136418 152496 203328 204627 272836 304992 409254 545672 609984 613881 818508 1091344 1227762 1637016 1841643 2182688 2455524 3274032 3683286 4365376 4911048 6548064 7366572 9822096 13096128 14733144 19644192 24077777 29466288 39288384 48155554 58932576 72233331 96311108 117865152 144466662 192622216 216699993 288933324 385244432 433399986 577866648 650099979 770488864 866799972 1155733296 1300199958 1540977728 1733599944 2311466592 2600399916 3467199888 4622933184 5200799832 6934399776 10401599664 13868799552 20803199328 41606398656