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118199952973440 = 27325132294187069
BaseRepresentation
bin11010111000000010010010…
…001101011001111010000000
3120111111210201221201200011100
4122320002102031121322000
5110443042000430122230
61055220150410014400
733616444011001332
oct3270022215317200
9514453657650140
10118199952973440
1134731355a948a8
121130bb39117400
1350c529152a900
142128ca033d452
15d9e9ba90d660
hex6b8092359e80

118199952973440 has 576 divisors, whose sum is σ = 457211714427000. Its totient is φ = 28092077604864.

The previous prime is 118199952973409. The next prime is 118199952973447. The reversal of 118199952973440 is 44379259991811.

118199952973440 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 9 + 9 + 95 + 2 + 97 + 3 + 440 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11216015337024 + 106983937636416 = 3349032^2 + 10343304^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (118199952973447) 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 71 ways as a sum of consecutive naturals, for example, 26136226 + ... + 30323294.

Almost surely, 2118199952973440 is an apocalyptic number.

118199952973440 is a gapful number since it is divisible by the number (10) 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 118199952973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228605857213500).

118199952973440 is an abundant number, since it is smaller than the sum of its proper divisors (339011761453560).

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

118199952973440 is a wasteful number, since it uses less digits than its factorization.

118199952973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187149 (or 4187121 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 118199952973440 in words is "one hundred eighteen trillion, one hundred ninety-nine billion, nine hundred fifty-two million, nine hundred seventy-three thousand, four hundred forty".