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1074404067008 = 26711153205069
BaseRepresentation
bin11111010001001110111…
…10010000011011000000
310210201020001210122112112
433220213132100123000
5120100334420121013
62141324023514452
7140423506613126
oct17504736203300
93721201718475
101074404067008
1138471a0a4768
121542878b8a28
137a414c6b3ac
143a003d15916
151ce33815ba8
hexfa277906c0

1074404067008 has 56 divisors (see below), whose sum is σ = 2163934732320. Its totient is φ = 529173872640.

The previous prime is 1074404067007. The next prime is 1074404067013. The reversal of 1074404067008 is 8007604044701.

It is not an unprimeable number, because it can be changed into a prime (1074404067007) 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 7 ways as a sum of consecutive naturals, for example, 5136698 + ... + 5341766.

Almost surely, 21074404067008 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 1074404067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081967366160).

1074404067008 is an abundant number, since it is smaller than the sum of its proper divisors (1089530665312).

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

1074404067008 is a wasteful number, since it uses less digits than its factorization.

1074404067008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206305 (or 206295 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 1074404067008 in words is "one trillion, seventy-four billion, four hundred four million, sixty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 1153 2272 2306 4544 4612 9224 18448 36896 73792 81863 163726 205069 327452 410138 654904 820276 1309808 1640552 2619616 3281104 5239232 6562208 13124416 14559899 29119798 58239596 116479192 232958384 236444557 465916768 472889114 931833536 945778228 1891556456 3783112912 7566225824 15132451648 16787563547 33575127094 67150254188 134300508376 268601016752 537202033504 1074404067008