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993939907024 = 24439252156131
BaseRepresentation
bin11100111011010110110…
…11110110000111010000
310112000112101021210202001
432131223123312013100
5112241042104011044
62040335405403344
7131544520545331
oct16355333660720
93460471253661
10993939907024
11353589190399
12140770569554
137296091c6cc
143616d674288
151acc470d2d4
hexe76b6f61d0

993939907024 has 40 divisors (see below), whose sum is σ = 1930945290560. Its totient is φ = 495632390400.

The previous prime is 993939907021. The next prime is 993939907027. The reversal of 993939907024 is 420709939399.

It is an interprime number because it is at equal distance from previous prime (993939907021) and next prime (993939907027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993939907021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17679439 + ... + 17735569.

It is an arithmetic number, because the mean of its divisors is an integer number (48273632264).

Almost surely, 2993939907024 is an apocalyptic number.

It is an amenable number.

993939907024 is a deficient number, since it is larger than the sum of its proper divisors (937005383536).

993939907024 is a wasteful number, since it uses less digits than its factorization.

993939907024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59099 (or 59093 counting only the distinct ones).

The product of its (nonzero) digits is 29760696, while the sum is 64.

The spelling of 993939907024 in words is "nine hundred ninety-three billion, nine hundred thirty-nine million, nine hundred seven thousand, twenty-four".

Divisors: 1 2 4 8 16 439 878 1756 2521 3512 5042 7024 10084 20168 40336 56131 112262 224524 449048 898096 1106719 2213438 4426876 8853752 17707504 24641509 49283018 98566036 141506251 197132072 283012502 394264144 566025004 1132050008 2264100016 62121244189 124242488378 248484976756 496969953512 993939907024