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4106331723846 = 23112511022324247
BaseRepresentation
bin111011110000010100011…
…100011001100001000110
3112112120011022120221102110
4323300110130121201012
51014234231410130341
612422231151521450
7602446504514652
oct73602434314106
915476138527373
104106331723846
11134353822a5a0
12563a02229286
1323a2c132b521
14102a6727da62
1571c36006216
hex3bc14719846

4106331723846 has 64 divisors (see below), whose sum is σ = 8996214398976. Its totient is φ = 1239213060000.

The previous prime is 4106331723839. The next prime is 4106331723847. The reversal of 4106331723846 is 6483271336014.

It is a junction number, because it is equal to n+sod(n) for n = 4106331723795 and 4106331723804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106331723847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169342095 + ... + 169366341.

It is an arithmetic number, because the mean of its divisors is an integer number (140565849984).

Almost surely, 24106331723846 is an apocalyptic number.

4106331723846 is an abundant number, since it is smaller than the sum of its proper divisors (4889882675130).

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

4106331723846 is a wasteful number, since it uses less digits than its factorization.

4106331723846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34737.

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 4106331723846 in words is "four trillion, one hundred six billion, three hundred thirty-one million, seven hundred twenty-three thousand, eight hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 251 502 753 1506 2761 5522 8283 10223 16566 20446 24247 30669 48494 61338 72741 112453 145482 224906 266717 337359 533434 674718 800151 1600302 2565973 5131946 6085997 7697919 12171994 15395838 18257991 28225703 36515982 56451406 66945967 84677109 133891934 169354218 200837901 247877081 401675802 495754162 743631243 1487262486 2726647891 5453295782 8179943673 16359887346 62217147331 124434294662 186651441993 373302883986 684388620641 1368777241282 2053165861923 4106331723846