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299352049920 = 2835571129431
BaseRepresentation
bin1000101101100101100…
…01011100100100000000
31001121200100200202100000
410112302301130210000
514401033111044140
6345304225200000
730425136304140
oct4266261344400
91047610622300
10299352049920
11105a55478870
124a024490000
13222c88149b1
14106bb076920
157bc086da30
hex45b2c5c900

299352049920 has 1728 divisors, whose sum is σ = 1388512419840. Its totient is φ = 59918745600.

The previous prime is 299352049907. The next prime is 299352049943. The reversal of 299352049920 is 29940253992.

It is a happy number.

299352049920 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 520 + 4 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2993520499202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 694552105 + ... + 694552535.

It is an arithmetic number, because the mean of its divisors is an integer number (803537280).

Almost surely, 2299352049920 is an apocalyptic number.

299352049920 is a gapful number since it is divisible by the number (20) 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 299352049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694256209920).

299352049920 is an abundant number, since it is smaller than the sum of its proper divisors (1089160369920).

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

299352049920 is a wasteful number, since it uses less digits than its factorization.

299352049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 299352049920 in words is "two hundred ninety-nine billion, three hundred fifty-two million, forty-nine thousand, nine hundred twenty".