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11627104797 = 3372111746997
BaseRepresentation
bin10101101010000011…
…11000101000011101
31010000022110010022000
422311001320220131
5142303014323142
65201425112513
7561062521500
oct126501705035
933008403260
1011627104797
114a27219a20
122305a88739
131133b23489
147c42b1137
15480b6314c
hex2b5078a1d

11627104797 has 96 divisors (see below), whose sum is σ = 23145575040. Its totient is φ = 5684636160.

The previous prime is 11627104789. The next prime is 11627104813. The reversal of 11627104797 is 79740172611.

11627104797 is a `hidden beast` number, since 1 + 1 + 627 + 10 + 4 + 7 + 9 + 7 = 666.

It is not a de Polignac number, because 11627104797 - 23 = 11627104789 is a prime.

It is a super-2 number, since 2×116271047972 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627104787) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223903 + ... + 270899.

It is an arithmetic number, because the mean of its divisors is an integer number (241099740).

Almost surely, 211627104797 is an apocalyptic number.

11627104797 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11627104797 is a deficient number, since it is larger than the sum of its proper divisors (11518470243).

11627104797 is a wasteful number, since it uses less digits than its factorization.

11627104797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47048 (or 47035 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11627104797 in words is "eleven billion, six hundred twenty-seven million, one hundred four thousand, seven hundred ninety-seven".

Divisors: 1 3 7 9 11 17 21 27 33 49 51 63 77 99 119 147 153 187 189 231 297 357 441 459 539 561 693 833 1071 1309 1323 1617 1683 2079 2499 3213 3927 4851 5049 7497 9163 11781 14553 22491 27489 35343 46997 82467 140991 247401 328979 422973 516967 798949 986937 1268919 1550901 2302853 2396847 2960811 3618769 4652703 5592643 6908559 7190541 8788439 8882433 10856307 13958109 16777929 20725677 21571623 25331383 26365317 32568921 39148501 50333787 61519073 62177031 75994149 79095951 97706763 117445503 151001361 184557219 227982447 237287853 352336509 430633511 553671657 683947341 1057009527 1291900533 1661014971 3875701599 11627104797