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991606000441 = 72314081437401
BaseRepresentation
bin11100110111000000101…
…00101100101100111001
310111210111201122001210111
432123200110230230321
5112221302114003231
62035312033544321
7131432630635060
oct16334024545471
93453451561714
10991606000441
113525a0810881
1214021aa150a1
137267b2353b4
1435dcb6db1d7
151abd98904b1
hexe6e052cb39

991606000441 has 16 divisors (see below), whose sum is σ = 1182623033088. Its totient is φ = 812934144000.

The previous prime is 991606000439. The next prime is 991606000543. The reversal of 991606000441 is 144000606199.

991606000441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 8-Lehmer number, since φ(991606000441) divides (991606000441-1)8.

It is a cyclic number.

It is not a de Polignac number, because 991606000441 - 21 = 991606000439 is a prime.

It is a super-2 number, since 2×9916060004412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 991606000394 and 991606000403.

It is not an unprimeable number, because it can be changed into a prime (991606000841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048341 + ... + 2485741.

It is an arithmetic number, because the mean of its divisors is an integer number (73913939568).

Almost surely, 2991606000441 is an apocalyptic number.

It is an amenable number.

991606000441 is a deficient number, since it is larger than the sum of its proper divisors (191017032647).

991606000441 is a wasteful number, since it uses less digits than its factorization.

991606000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451512.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 991606000441 in words is "nine hundred ninety-one billion, six hundred six million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 7 23 161 14081 98567 323863 437401 2267041 3061807 10060223 70421561 6159043481 43113304367 141658000063 991606000441