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11007891928943 = 7135315591463999
BaseRepresentation
bin1010000000101111100101…
…1111001111011101101111
31102222100021220201012120222
42200023321133033131233
52420323130313211233
635224542235001555
72214202552364450
oct240137137173557
942870256635528
1011007891928943
11356446a022a38
1212994a08992bb
1361b069458ab0
142a0adb74b127
15141519458898
hexa02f97cf76f

11007891928943 has 32 divisors (see below), whose sum is σ = 13812664320000. Its totient is φ = 8539722861696.

The previous prime is 11007891928939. The next prime is 11007891928949. The reversal of 11007891928943 is 34982919870011.

It is not a de Polignac number, because 11007891928943 - 22 = 11007891928939 is a prime.

It is a super-3 number, since 3×110078919289433 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007891928949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6787058 + ... + 8251056.

It is an arithmetic number, because the mean of its divisors is an integer number (431645760000).

Almost surely, 211007891928943 is an apocalyptic number.

11007891928943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11007891928943 is a deficient number, since it is larger than the sum of its proper divisors (2804772391057).

11007891928943 is a wasteful number, since it uses less digits than its factorization.

11007891928943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465631.

The product of its (nonzero) digits is 7838208, while the sum is 62.

The spelling of 11007891928943 in words is "eleven trillion, seven billion, eight hundred ninety-one million, nine hundred twenty-eight thousand, nine hundred forty-three".

Divisors: 1 7 13 53 91 371 689 1559 4823 10913 20267 82627 141869 578389 1074151 1463999 7519057 10247993 19031987 77591947 133223909 543143629 1008695311 2282374441 7060867177 15976621087 29670867733 120965845373 207696074131 846760917611 1572555989849 11007891928943