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41006360064 = 293291974673
BaseRepresentation
bin100110001100001010…
…110110011000000000
310220211210200220222110
4212030022312120000
51132440112010224
630501004335320
72651114211105
oct461412663000
9126753626873
1041006360064
111643302627a
127b44b44540
133b367085a7
141db00d2aac
151100022929
hex98c2b6600

41006360064 has 160 divisors (see below), whose sum is σ = 113608487520. Its totient is φ = 13127647232.

The previous prime is 41006360053. The next prime is 41006360069. The reversal of 41006360064 is 46006360014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41006360069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8772832 + ... + 8777504.

It is an arithmetic number, because the mean of its divisors is an integer number (710053047).

Almost surely, 241006360064 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 41006360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56804243760).

41006360064 is an abundant number, since it is smaller than the sum of its proper divisors (72602127456).

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

41006360064 is a wasteful number, since it uses less digits than its factorization.

41006360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 41006360064 in words is "forty-one billion, six million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 197 232 256 348 384 394 464 512 591 696 768 788 928 1182 1392 1536 1576 1856 2364 2784 3152 3712 4673 4728 5568 5713 6304 7424 9346 9456 11136 11426 12608 14019 14848 17139 18692 18912 22272 22852 25216 28038 34278 37384 37824 44544 45704 50432 56076 68556 74768 75648 91408 100864 112152 135517 137112 149536 151296 182816 224304 271034 274224 299072 302592 365632 406551 448608 542068 548448 598144 731264 813102 897216 920581 1084136 1096896 1196288 1462528 1626204 1794432 1841162 2168272 2193792 2392576 2761743 2925056 3252408 3588864 3682324 4336544 4387584 5523486 6504816 7177728 7364648 8673088 8775168 11046972 13009632 14729296 17346176 22093944 26019264 26696849 29458592 34692352 44187888 52038528 53393698 58917184 69384704 80090547 88375776 104077056 106787396 117834368 160181094 176751552 208154112 213574792 235668736 320362188 353503104 427149584 471337472 640724376 707006208 854299168 1281448752 1414012416 1708598336 2562897504 3417196672 5125795008 6834393344 10251590016 13668786688 20503180032 41006360064