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13963524676008 = 2335320875259997
BaseRepresentation
bin1100101100110010001011…
…1011011001100110101000
31211102220022001011111202220
43023030202323121212220
53312234244304113013
645410431002154040
72640555105252105
oct313144273314650
954386261144686
1013963524676008
1144a3996718926
1216962841b2920
137a39a719a8bb
14363ba4043aac
15193353a99b23
hexcb322ed99a8

13963524676008 has 64 divisors (see below), whose sum is σ = 35584517669760. Its totient is φ = 4564498288896.

The previous prime is 13963524675979. The next prime is 13963524676037. The reversal of 13963524676008 is 80067642536931.

13963524676008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13963524675979) and next prime (13963524676037).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24666 + ... + 5284662.

It is an arithmetic number, because the mean of its divisors is an integer number (556008088590).

It is a 1-persistent number, because it is pandigital, but 2⋅13963524676008 = 27927049352016 is not.

Almost surely, 213963524676008 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 13963524676008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792258834880).

13963524676008 is an abundant number, since it is smaller than the sum of its proper divisors (21620992993752).

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

13963524676008 is a wasteful number, since it uses less digits than its factorization.

13963524676008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262146 (or 5262142 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 13963524676008 in words is "thirteen trillion, nine hundred sixty-three billion, five hundred twenty-four million, six hundred seventy-six thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2087 4174 6261 8348 12522 16696 25044 50088 110611 221222 331833 442444 663666 884888 1327332 2654664 5259997 10519994 15779991 21039988 31559982 42079976 63119964 126239928 278779841 557559682 836339523 1115119364 1672679046 2230238728 3345358092 6690716184 10977613739 21955227478 32932841217 43910454956 65865682434 87820909912 131731364868 263462729736 581813528167 1163627056334 1745440584501 2327254112668 3490881169002 4654508225336 6981762338004 13963524676008