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117785863488 = 26312711934049
BaseRepresentation
bin110110110110010010…
…1011010010101000000
3102021000200212211012110
41231230211122111000
53412211140112423
6130035435455320
711336562214626
oct1555445322500
9367020784173
10117785863488
1145a5305a637
121a9b22b7540
13b151576417
1459b5269516
1530e58e5193
hex1b6c95a540

117785863488 has 112 divisors (see below), whose sum is σ = 314436556800. Its totient is φ = 38910541824.

The previous prime is 117785863483. The next prime is 117785863493. The reversal of 117785863488 is 884368587711.

It is an interprime number because it is at equal distance from previous prime (117785863483) and next prime (117785863493).

It is a super-2 number, since 2×1177858634882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117785863483) 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 15 ways as a sum of consecutive naturals, for example, 29088088 + ... + 29092136.

Almost surely, 2117785863488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117785863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157218278400).

117785863488 is an abundant number, since it is smaller than the sum of its proper divisors (196650693312).

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

117785863488 is a wasteful number, since it uses less digits than its factorization.

117785863488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5374 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 66.

The spelling of 117785863488 in words is "one hundred seventeen billion, seven hundred eighty-five million, eight hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1193 1524 2032 2386 3048 3579 4049 4064 4772 6096 7158 8098 8128 9544 12147 12192 14316 16196 19088 24294 24384 28632 32392 38176 48588 57264 64784 76352 97176 114528 129568 151511 194352 229056 259136 303022 388704 454533 514223 606044 777408 909066 1028446 1212088 1542669 1818132 2056892 2424176 3085338 3636264 4113784 4830457 4848352 6170676 7272528 8227568 9660914 9696704 12341352 14491371 14545056 16455136 19321828 24682704 28982742 29090112 32910272 38643656 49365408 57965484 77287312 98730816 115930968 154574624 231861936 309149248 463723872 613468039 927447744 1226936078 1840404117 2453872156 3680808234 4907744312 7361616468 9815488624 14723232936 19630977248 29446465872 39261954496 58892931744 117785863488