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11934507008 = 213172712
BaseRepresentation
bin10110001110101101…
…00010000000000000
31010210201212202212002
423013112202000000
5143420213211013
65252125523132
7601514431034
oct130726420000
933721782762
1011934507008
115074799836
122390a134a8
131182713588
148130501c4
1549cb35358
hex2c75a2000

11934507008 has 126 divisors (see below), whose sum is σ = 25716247653. Its totient is φ = 5537136640.

The previous prime is 11934506989. The next prime is 11934507023. The reversal of 11934507008 is 80070543911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10922758144 + 1011748864 = 104512^2 + 31808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77248.

It is a super-2 number, since 2×119345070082 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 168091613 + ... + 168091683.

Almost surely, 211934507008 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 11934507008

11934507008 is an abundant number, since it is smaller than the sum of its proper divisors (13781740645).

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

11934507008 is an frugal number, since it uses more digits than its factorization.

11934507008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 11934507008 in words is "eleven billion, nine hundred thirty-four million, five hundred seven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 289 512 544 568 578 1024 1088 1136 1156 1207 2048 2176 2272 2312 2414 4096 4352 4544 4624 4828 5041 8192 8704 9088 9248 9656 10082 17408 18176 18496 19312 20164 20519 34816 36352 36992 38624 40328 41038 69632 72704 73984 77248 80656 82076 85697 139264 145408 147968 154496 161312 164152 171394 290816 295936 308992 322624 328304 342788 581632 591872 617984 645248 656608 685576 1183744 1235968 1290496 1313216 1371152 1456849 2367488 2471936 2580992 2626432 2742304 2913698 4943872 5161984 5252864 5484608 5827396 9887744 10323968 10505728 10969216 11654792 20647936 21011456 21938432 23309584 41295872 42022912 43876864 46619168 84045824 87753728 93238336 168091648 175507456 186476672 351014912 372953344 702029824 745906688 1491813376 2983626752 5967253504 11934507008