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11630677005 = 345191511459
BaseRepresentation
bin10101101010011111…
…00000110000001101
31010000120011121110000
422311033200300031
5142304423131010
65202033434513
7561135060213
oct126517406015
933016147400
1011630677005
114a29239862
12230710ba39
1311347a43cc
147c4960cb3
1548111b7c0
hex2b53e0c0d

11630677005 has 40 divisors (see below), whose sum is σ = 21946399200. Its totient is φ = 5876548704.

The previous prime is 11630676949. The next prime is 11630677013. The reversal of 11630677005 is 50077603611.

11630677005 is a `hidden beast` number, since 11 + 630 + 6 + 7 + 7 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 11630677005 - 28 = 11630676749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748035 + ... + 763424.

It is an arithmetic number, because the mean of its divisors is an integer number (548659980).

Almost surely, 211630677005 is an apocalyptic number.

11630677005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11630677005 is a deficient number, since it is larger than the sum of its proper divisors (10315722195).

11630677005 is a wasteful number, since it uses less digits than its factorization.

11630677005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511495 (or 1511486 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 11630677005 in words is "eleven billion, six hundred thirty million, six hundred seventy-seven thousand, five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 1511459 4534377 7557295 13603131 22671885 28717721 40809393 68015655 86153163 122428179 143588605 204046965 258459489 430765815 612140895 775378467 1292297445 2326135401 3876892335 11630677005