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11167006937 = 172050932029
BaseRepresentation
bin10100110011001101…
…10000000011011001
31001211020200201200112
422121212300003121
5140332223210222
65044031414105
7543504664352
oct123146600331
931736621615
1011167006937
114810536659
1221b7984335
13108c6cc518
1477d144d29
1545557cbe2
hex2999b00d9

11167006937 has 8 divisors (see below), whose sum is σ = 11824835400. Its totient is φ = 10509283584.

The previous prime is 11167006931. The next prime is 11167006967. The reversal of 11167006937 is 73960076111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 11163824281 = 1784^2 + 105659^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11167006937 - 28 = 11167006681 is a prime.

It is a super-2 number, since 2×111670069372 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11167006894 and 11167006903.

It is not an unprimeable number, because it can be changed into a prime (11167006931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332639 + ... + 364667.

It is an arithmetic number, because the mean of its divisors is an integer number (1478104425).

Almost surely, 211167006937 is an apocalyptic number.

11167006937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11167006937 is a deficient number, since it is larger than the sum of its proper divisors (657828463).

11167006937 is a wasteful number, since it uses less digits than its factorization.

11167006937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52555.

The product of its (nonzero) digits is 47628, while the sum is 41.

The spelling of 11167006937 in words is "eleven billion, one hundred sixty-seven million, six thousand, nine hundred thirty-seven".

Divisors: 1 17 20509 32029 348653 544493 656882761 11167006937