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117426717507 = 311171983331401
BaseRepresentation
bin110110101011100101…
…1011000001101000011
3102020002200002022112110
41231113023120031003
53410442214430012
6125540050030403
711324641426041
oct1552713301503
9366080068473
10117426717507
1145889358980
121a911b78403
13b0c503a2c8
14597d69b391
1530c410173c
hex1b572d8343

117426717507 has 128 divisors (see below), whose sum is σ = 193725665280. Its totient is φ = 62346240000.

The previous prime is 117426717503. The next prime is 117426717509. The reversal of 117426717507 is 705717624711.

It is a happy number.

It is not a de Polignac number, because 117426717507 - 22 = 117426717503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117426717503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292834507 + ... + 292834907.

It is an arithmetic number, because the mean of its divisors is an integer number (1513481760).

Almost surely, 2117426717507 is an apocalyptic number.

117426717507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

117426717507 is a deficient number, since it is larger than the sum of its proper divisors (76298947773).

117426717507 is a wasteful number, since it uses less digits than its factorization.

117426717507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 576240, while the sum is 48.

It can be divided in two parts, 117 and 426717507, that added together give a palindrome (426717624).

The spelling of 117426717507 in words is "one hundred seventeen billion, four hundred twenty-six million, seven hundred seventeen thousand, five hundred seven".

Divisors: 1 3 11 17 19 33 51 57 83 187 209 249 323 331 401 561 627 913 969 993 1203 1411 1577 2739 3553 3641 4233 4411 4731 5627 6289 6817 7619 10659 10923 13233 15521 16881 17347 18867 20451 22857 26809 27473 33283 46563 52041 61897 69179 74987 80427 82419 83809 99849 106913 129523 132731 185691 207537 224961 251427 294899 302203 320739 366113 388569 398193 467041 521987 565811 632377 884697 906609 1098339 1176043 1401123 1424753 1460041 1565961 1697433 1897131 2256427 2521889 3528129 4274259 4380123 5137451 5741857 6223921 6769281 6956147 7565667 8873779 10750409 11016673 15412353 17225571 18671763 20868441 24820697 26621337 27740779 32251227 33050019 42872113 74462091 83222337 97611569 118254499 121183403 128616339 187283441 209316787 292834707 354763497 363550209 471593243 561850323 627950361 1414779729 2060117851 2302484657 3558385379 6180353553 6907453971 10675156137 39142239169 117426717507