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9993149720037 = 3211199539556943
BaseRepresentation
bin1001000101101011011000…
…1000111010010111100101
31022101100001210012222022200
42101122312020322113211
52302211432312020122
633130442315445113
72050660365050511
oct221326610722745
938340053188280
109993149720037
113203086550320
1211548a5756799
13576471b83c23
14267957427141
15124e288505ac
hex916b623a5e5

9993149720037 has 48 divisors (see below), whose sum is σ = 16577326771200. Its totient is φ = 5737081819680.

The previous prime is 9993149720033. The next prime is 9993149720069. The reversal of 9993149720037 is 7300279413999.

9993149720037 is a `hidden beast` number, since 9 + 9 + 93 + 1 + 497 + 20 + 0 + 37 = 666.

9993149720037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9993149720037 - 22 = 9993149720033 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993149720033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17664388 + ... + 18221330.

It is an arithmetic number, because the mean of its divisors is an integer number (345360974400).

Almost surely, 29993149720037 is an apocalyptic number.

It is an amenable number.

9993149720037 is a deficient number, since it is larger than the sum of its proper divisors (6584177051163).

9993149720037 is a wasteful number, since it uses less digits than its factorization.

9993149720037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566518 (or 566515 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 9993149720037 in words is "nine trillion, nine hundred ninety-three billion, one hundred forty-nine million, seven hundred twenty thousand, thirty-seven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 9539 28617 85851 104929 181241 314787 543723 556943 944361 1631169 1670829 1993651 5012487 5980953 6126373 10581917 17942859 18379119 31745751 55137357 95237253 116401087 349203261 1047609783 5312679277 15938037831 47814113493 58439472047 100940906263 175318416141 302822718789 525955248423 908468156367 1110349968893 3331049906679 9993149720037