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999607982113 = 131937973073673
BaseRepresentation
bin11101000101111010100…
…01110101100000100001
310112120011101202212001001
432202331101311200201
5112334144120411423
62043114044112001
7132135134440516
oct16427521654041
93476141685031
10999607982113
11355a27712074
12141892835601
1373354cc04b0
143654a35d30d
151b00712ccad
hexe8bd475821

999607982113 has 64 divisors (see below), whose sum is σ = 1179933610240. Its totient is φ = 838786793472.

The previous prime is 999607982101. The next prime is 999607982143. The reversal of 999607982113 is 311289706999.

It is a 4-Lehmer number, since φ(999607982113) divides (999607982113-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 999607982113 - 221 = 999605884961 is a prime.

It is a super-2 number, since 2×9996079821132 (a number of 25 digits) contains 22 as substring.

It is a deceptive number, since it divides R999607982112.

It is not an unprimeable number, because it can be changed into a prime (999607982143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272148445 + ... + 272152117.

It is an arithmetic number, because the mean of its divisors is an integer number (18436462660).

It is a Poulet number, since it divides 2999607982112-1.

Almost surely, 2999607982113 is an apocalyptic number.

It is an amenable number.

999607982113 is a deficient number, since it is larger than the sum of its proper divisors (180325628127).

999607982113 is a wasteful number, since it uses less digits than its factorization.

999607982113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146.

The product of its (nonzero) digits is 13226976, while the sum is 64.

The spelling of 999607982113 in words is "nine hundred ninety-nine billion, six hundred seven million, nine hundred eighty-two thousand, one hundred thirteen".

Divisors: 1 13 19 37 97 247 307 481 703 1261 1843 3589 3673 3991 5833 9139 11359 23959 29779 46657 47749 68191 69787 75829 135901 147667 215821 356281 387127 565801 886483 907231 1101823 1127611 1766713 2582119 2805673 4631653 6769339 7355413 13182397 14323699 14658943 20934637 21424609 33567547 41721607 88001407 109378267 171371161 250465543 272150281 278519917 542380891 792710533 1421917471 2078187073 3256052059 4046995879 10305236929 27016431949 52610946427 76892921701 999607982113