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41779014656 = 210431317243
BaseRepresentation
bin100110111010001110…
…010010110000000000
310222211122120211211012
4212322032102300000
51141030411432111
631105405140052
73006215523311
oct467216226000
9128748524735
1041779014656
111679a18a095
12811b85a628
133c2a805862
142044980608
151147c9748b
hex9ba392c00

41779014656 has 88 divisors (see below), whose sum is σ = 86123742144. Its totient is φ = 20245155840.

The previous prime is 41779014643. The next prime is 41779014679. The reversal of 41779014656 is 65641097714.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5764571 + ... + 5771813.

It is an arithmetic number, because the mean of its divisors is an integer number (978678888).

Almost surely, 241779014656 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 41779014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43061871072).

41779014656 is an abundant number, since it is smaller than the sum of its proper divisors (44344727488).

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

41779014656 is a wasteful number, since it uses less digits than its factorization.

41779014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7437 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 41779014656 in words is "forty-one billion, seven hundred seventy-nine million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 131 172 256 262 344 512 524 688 1024 1048 1376 2096 2752 4192 5504 5633 7243 8384 11008 11266 14486 16768 22016 22532 28972 33536 44032 45064 57944 67072 90128 115888 134144 180256 231776 311449 360512 463552 622898 721024 927104 948833 1245796 1442048 1854208 1897666 2491592 2884096 3708416 3795332 4983184 5768192 7416832 7590664 9966368 15181328 19932736 30362656 39865472 40799819 60725312 79730944 81599638 121450624 159461888 163199276 242901248 318923776 326398552 485802496 652797104 971604992 1305594208 2611188416 5222376832 10444753664 20889507328 41779014656