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117812580816 = 243737155769
BaseRepresentation
bin110110110111000101…
…1010101000111010000
3102021002120011012111010
41231232023111013100
53412240010041231
6130042232250520
711340335262000
oct1555613250720
9367076135433
10117812580816
1145a67148777
121a9bb240a40
13b156c6c1a8
1459b8a22000
1530e7e21546
hex1b6e2d51d0

117812580816 has 80 divisors (see below), whose sum is σ = 354926192000. Its totient is φ = 33660732672.

The previous prime is 117812580811. The next prime is 117812580827. The reversal of 117812580816 is 618085218711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117812580811) 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 15 ways as a sum of consecutive naturals, for example, 3561421 + ... + 3594348.

It is an arithmetic number, because the mean of its divisors is an integer number (4436577400).

Almost surely, 2117812580816 is an apocalyptic number.

117812580816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117812580816 is an abundant number, since it is smaller than the sum of its proper divisors (237113611184).

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

117812580816 is an equidigital number, since it uses as much as digits as its factorization.

117812580816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155801 (or 7155781 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 48.

The spelling of 117812580816 in words is "one hundred seventeen billion, eight hundred twelve million, five hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 7155769 14311538 21467307 28623076 42934614 50090383 57246152 85869228 100180766 114492304 150271149 171738456 200361532 300542298 343476912 350632681 400723064 601084596 701265362 801446128 1051898043 1202169192 1402530724 2103796086 2404338384 2454428767 2805061448 4207592172 4908857534 5610122896 7363286301 8415184344 9817715068 14726572602 16830368688 19635430136 29453145204 39270860272 58906290408 117812580816