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117653802049 = 7219225792
BaseRepresentation
bin110110110010010110…
…1101000110001000001
3102020200111101101222001
41231210231220301001
53411423333131144
6130014401144001
711333366550100
oct1554455506101
9366614341861
10117653802049
114599555a953
121a97602b001
13b1300b8564
1459a18d0037
1530d900abd4
hex1b64b68c41

117653802049 has 27 divisors (see below), whose sum is σ = 144501030657. Its totient is φ = 95501380968.

The previous prime is 117653801971. The next prime is 117653802059. The reversal of 117653802049 is 940208356711.

The square root of 117653802049 is 343007.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 117653802049 - 29 = 117653801537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117653802059) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 45618642 + ... + 45621220.

It is a 1-persistent number, because it is pandigital, but 2⋅117653802049 = 235307604098 is not.

Almost surely, 2117653802049 is an apocalyptic number.

117653802049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

117653802049 is the 343007-th square number.

117653802049 is the 171504-th centered octagonal number.

It is an amenable number.

117653802049 is a deficient number, since it is larger than the sum of its proper divisors (26847228608).

117653802049 is an frugal number, since it uses more digits than its factorization.

117653802049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 117653802049 in words is "one hundred seventeen billion, six hundred fifty-three million, eight hundred two thousand, forty-nine".

Divisors: 1 7 19 49 133 361 931 2527 2579 17689 18053 49001 126371 343007 931019 2401049 6517133 6651241 45619931 46558687 126373579 325910809 884615053 2401098001 6192305371 16807686007 117653802049