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117824261248 = 277313792041
BaseRepresentation
bin110110110111011011…
…1111000110010000000
3102021010101010122000201
41231232313320302000
53412301002324443
6130043330454544
711340536460511
oct1555667706200
9367111118021
10117824261248
1145a727a6421
121aa03134454
13b1594cb8a5
1459ba3c2a08
1530e8e7c34d
hex1b6edf8c80

117824261248 has 64 divisors (see below), whose sum is σ = 239682890520. Its totient is φ = 57680363520.

The previous prime is 117824261213. The next prime is 117824261353. The reversal of 117824261248 is 842162428711.

It can be written as a sum of positive squares in 4 ways, for example, as 109317519424 + 8506741824 = 330632^2 + 92232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 117824261198 and 117824261207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234108 + ... + 1326148.

Almost surely, 2117824261248 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 117824261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119841445260).

117824261248 is an abundant number, since it is smaller than the sum of its proper divisors (121858629272).

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

117824261248 is an equidigital number, since it uses as much as digits as its factorization.

117824261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92265 (or 92253 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

Adding to 117824261248 its reverse (842162428711), we get a palindrome (959986689959).

The spelling of 117824261248 in words is "one hundred seventeen billion, eight hundred twenty-four million, two hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 137 146 274 292 548 584 1096 1168 2192 2336 4384 4672 8768 9344 10001 17536 20002 40004 80008 92041 160016 184082 320032 368164 640064 736328 1280128 1472656 2945312 5890624 6718993 11781248 12609617 13437986 25219234 26875972 50438468 53751944 100876936 107503888 201753872 215007776 403507744 430015552 807015488 860031104 920502041 1614030976 1841004082 3682008164 7364016328 14728032656 29456065312 58912130624 117824261248