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118195221275136 = 2935171914512027
BaseRepresentation
bin11010110111111101111000…
…001011011010001000000000
3120111111100112012012111100000
4122313331320023122020000
5110443002303121301021
61055214045101200000
733616215524142465
oct3267757013321000
9514440465174300
10118195221275136
113472a348080935
121130b038560000
1350c49b914bb25
142128971b5d66c
15d9e7e0303b26
hex6b7f782da200

118195221275136 has 960 divisors, whose sum is σ = 394742679851520. Its totient is φ = 35087700787200.

The previous prime is 118195221275113. The next prime is 118195221275161. The reversal of 118195221275136 is 631572122591811.

118195221275136 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 9 + 522 + 12 + 75 + 1 + 36 = 666.

It is a super-2 number, since 2×1181952212751362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58310418955 + ... + 58310420981.

It is an arithmetic number, because the mean of its divisors is an integer number (411190291512).

Almost surely, 2118195221275136 is an apocalyptic number.

118195221275136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118195221275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197371339925760).

118195221275136 is an abundant number, since it is smaller than the sum of its proper divisors (276547458576384).

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

118195221275136 is a wasteful number, since it uses less digits than its factorization.

118195221275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3519 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 118195221275136 in words is "one hundred eighteen trillion, one hundred ninety-five billion, two hundred twenty-one million, two hundred seventy-five thousand, one hundred thirty-six".