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299384483992 = 231159442313037
BaseRepresentation
bin1000101101101001011…
…01001011000010011000
31001121202121201120111221
410112310231023002120
514401114411441432
6345311344301424
730426012061126
oct4266455130230
91047677646457
10299384483992
11105a71810a90
124a033311874
132230245c859
14106c14ba916
157bc3628b97
hex45b4b4b098

299384483992 has 64 divisors (see below), whose sum is σ = 622945209600. Its totient is φ = 133736845440.

The previous prime is 299384483989. The next prime is 299384484041.

299384483992 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2993844839922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22957698 + ... + 22970734.

It is an arithmetic number, because the mean of its divisors is an integer number (9733518900).

Almost surely, 2299384483992 is an apocalyptic number.

299384483992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299384483992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311472604800).

299384483992 is an abundant number, since it is smaller than the sum of its proper divisors (323560725608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

299384483992 is a wasteful number, since it uses less digits than its factorization.

299384483992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17532 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 70.

The spelling of 299384483992 in words is "two hundred ninety-nine billion, three hundred eighty-four million, four hundred eighty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 4423 5192 8846 13037 17692 26074 35384 48653 52148 97306 104296 143407 194612 260957 286814 389224 521914 573628 769183 1043828 1147256 1538366 2087656 2870527 3076732 5741054 6153464 8461013 11482108 16922026 22964216 33844052 57662651 67688104 115325302 230650604 461301208 634289161 1268578322 2537156644 3402096409 5074313288 6804192818 13608385636 27216771272 37423060499 74846120998 149692241996 299384483992